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Integration with respect to Baire vector measures with applications to the spectral theory Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2022-04-01 Marian Nowak
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A Lumer–Phillips type generation theorem for bi-continuous semigroups Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2022-03-29 Christian Budde,Sven-Ake Wegner
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Uniform regularity for a density-dependent incompressible Gross–Pitaevskii–Navier–Stokes system Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2022-03-15 Jishan Fan,Gen Nakamura,Tong Tang
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Monotonicity results for quasilinear fractional systems in epigraphs Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2022-02-24 Phuong Le
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Small Data Global Well-Posedness and Scattering for the Inhomogeneous Nonlinear Schrödinger Equation in $H^s(\mathbb{R}^n)$ Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2021-11-09 JinMyong An, JinMyong Kim
We consider the Cauchy problem for the inhomogeneous nonlinear Schrödinger (INLS) equation $$ iu_t +\Delta u=\lvert x\rvert^{-b} f(u),\quad u(0)=u_0 \in H^s(\mathbb{R}^n), $$ where $00$. We prove that the Cauchy problem of the INLS equation is globally well-posed in $H^s(\mathbb{R}^n)$ if the initial data is sufficiently small and $\sigma_0 <\sigma <\sigma_s$, where $\sigma_0 =\frac{4-2b}{n}$ and $\sigma_s
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Global Properties of Vector Fields on Compact Lie Groups in Komatsu Classes Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2021-10-11 Alexandre Kirilov, Wagner A. A. de Moraes, Michael Ruzhansky
In this paper, we characterize completely the global hypoellipticity and global solvability in the sense of Komatsu (of Roumieu and Beurling types) of constant-coefficient vector fields on compact Lie groups. We also analyze the influence of perturbations by lower-order terms in the preservation of these properties.
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Polynomial Stability of a Suspension Bridge Model by Indirect Dampings Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2021-08-25 Serge Nicaise, Monia Bel Hadjsaleh
In this paper, we study the indirect stabilization of a coupled string-beam system related to the well-known Lazer–McKenna suspension bridge model. We prove some decay results of the energy of the system with either interior dampings or boundary ones. Our method is based on observability estimates of the undamped system and on the spectral analysis of the spatial operator.
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Singular $p$-Homogenization for Highly Conductive Fractal Layers Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2021-08-18 Simone Creo
We consider a quasi-linear homogenization problem in a two-dimensional pre-fractal domain $\Omega_n$, for $n\in\mathbb{N}$, surrounded by thick fibers of amplitude $\varepsilon$. We introduce a sequence of “pre-homogenized” energy functionals, and we prove that this sequence converges in a suitable sense to a quasi-linear fractal energy functional involving a $p$-energy on the fractal boundary. We
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Equidimensional Isometric Extensions Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2021-07-07 Micha Wasem
Let $\Sigma$ be a hypersurface in an $n$-dimensional Riemannian manifold $M$, $n\geq 2$. We study the isometric extension problem for isometric immersions $f\colon\Sigma\to\mathbb{R}^n$, where $\mathbb{R}^n$ is equipped with the Euclidean standard metric. We prove a general curvature obstruction to the existence of merely differentiable extensions and an obstruction to the existence of Lipschitz extensions
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Uniform regularity for the isentropic Hall-MHD system Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2021-06-15 Jishan Fan, Yong Zhou
In this manuscript, we consider the compressible Hall-MHD system, which is a mathematical model to describe magnetic reconnection in space plasmas, star formation, neutron stars, and geo-dynamics. In the system, there are two viscosity constants and a resistivity coefficient. Uniform regularity for the compressible isentropic Hall-MHD system is established in terms of these coefficients.
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Complex interpolation of Besov-type spaces on domains Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2021-06-24 Ciqiang Zhuo
Let $\Omega\subset\mathbb{R}^d$ ($d\geq 2$) be a bounded Lipschitz domain. In this article, the author mainly studies complex interpolation of Besov-type spaces on the domain $\Omega$, namely, we investigate the interpolation $$ [B_{p_0,q_0}^{s_0,\tau_0}(\Omega),B_{p_1,q_1}^{s_1,\tau_1}(\Omega)]_\Theta = B_{p,q}^{\diamond s,\tau}(\Omega) $$ under certain conditions on the parameters, where $B_{p,q}^{\diamond
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Existence of Solutions to the $A$-Laplace System via Young Measures Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2021-04-19 Farah Balaadich, Elhoussine Azroul
We study the existence of solutions for the $A$-Laplace system of the form $$ \left\{\begin{aligned} -\Delta_Au&=f &&\text{in}\ \Omega,\\ u&=0 && \text{on}\ \partial\Omega, \end{aligned}\right. $$ where $-\Delta_A u:=-\operatorname{div}(a(\lvert Du\rvert)Du)$. The existence result is proved by using the technique of Young measures.
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A Note on Lipschitz Continuity of the Solutions of a Class of Elliptic Free Boundary Problems Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2021-04-16 Abdeslem Lyaghfouri
We provide a new and simple proof based on Harnack’s inequality to the Lipschitz continuity of the solutions of a class of free boundary problems.
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Maximum Principle for Space and Time-Space Fractional Partial Differential Equations Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2021-04-16 Mokhtar Kirane, Berikbol T. Torebek
In this paper, new estimates of the sequential Caputo fractional derivatives of a function at its extremum points are obtained.We derive comparison principles for the linear fractional differential equations, then apply these principles to obtain lower and upper bounds of solutions of linear and nonlinear fractional differential equations. The extremum principle is then applied to show that the in
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Numerical Study of the Stabilization of 1D Locally Coupled Wave Equations Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2021-03-30 Stéphane Gerbi, Chiraz Kassem, Amina Mortada, Ali Wehbe
In this paper, we study the numerical stabilization of a 1D system of two wave equations coupled by velocities with an internal, local control acting on only one equation. In the theoretical part of this study [Z. Anal. Anwend. 40 (2021)(1), 67–96] we distinguished two cases. In the first one, the two waves assumed propagate at the same speed. Under appropriate geometric conditions, we had proved that
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Global Strong Solution of Nonhomogeneous Bénard System with Large Initial Data and Vacuum in a Bounded Domain Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2021-03-30 Xin Zhong
We study an initial boundary value problem of two-dimensional nonhomogeneous Bénard system with nonnegative density. We derive the global existence of a unique strong solution. In particular, the initial data can be arbitrarily large.
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A Kirchhoff $p(x)$-Biharmonic Problem Involving Singular Nonlinearities and Navier Boundary Conditions Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2021-03-30 Khaled Kefi, Kamel Saoudi, Mohammed Mosa AL-Shomrani
The aim of this work is to study the existence of weak solutions for a nonhomogeneous singular $p(x)$-Kirchhoff problem of the following form \begin{equation*} (\textbf{P}_{\pm \lambda}) \quad \left\{ \begin{aligned} M(t)\Delta(|\Delta u|^{p(x)-2}\Delta u) &=a(x) u^{-\gamma (x)}\pm \lambda u^{q(x)-2}u, &\ &\mbox{in }\Omega, \\ \Delta u&=u=0, & \ &\mbox{on }\partial\Omega, \end{aligned} \right. \end{equation*}
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Weak Estimates for the Maximal and Riesz Potential Operators in Central Herz–Morrey Spaces on the Unit Ball Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2021-03-30 Yoshihiro Mizuta, Takao Ohno, Tetsu Shimomura
Morrey spaces are the powerful tool for the study of partial differential equations. Recently, weak Morrey spaces and weak Herz spaces are known to be useful for the study of Navier–Stokes equations. In this paper we introduce weak central Herz–Morrey spaces $W\mathcal H^{p(\cdot),q,\omega}(\mathbf B)$ and establish the weak estimate for the maximal and Riesz potential operators in the central Herz–Morrey
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On a Weighted Adachi–Tanaka Type Trudinger–Moser Inequality in Nonradial Sobolev Spaces Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2021-03-30 Francisco S.B. Albuquerque
In this article we establish a Trudinger–Moser inequality of Adachi–Tanaka type in nonradial weighted Sobolev spaces for functions defined on the whole $\mathbb{R}^{N}$. The main tools are the Besecovitch covering lemma and a Trudinger–Moser inequality on the whole space established by S. Adachi and K. Tanaka.
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Detailed Proof of Classical Gagliardo–Nirenberg Interpolation Inequality with Historical Remarks Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2021-03-30 Alberto Fiorenza, Maria Rosaria Formica, Tomáš G. Roskovec, Filip Soudský
A carefully written Nirenberg's proof of the famous Gagliardo–Nirenberg interpolation inequality for intermediate derivatives in $\mathbb R^n$ seems, surprisingly, to be missing in literature. In our paper, we shall first introduce this fundamental result and provide information about its historical background. Afterwards, we present a complete, student-friendly proof. In our proof, we use the architecture
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Multifractal Geometry of Slices of Measures Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2021-03-30 Bilel Selmi
The aim of this article is to study the behavior of the multifractal packing function under slices in Euclidean space. We discuss the relationship between the multifractal packing and pre-packing functions of a compactly supported Borel probability measure and those of slices or sections of the measure. More specifically, we prove that if $\mu$ satisfies a certain technical condition and $q$ lies in
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The Equivalence Theorem for Logarithmic Interpolation Spaces in the Quasi-Banach Case Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2021-01-25 Blanca F. Besoy, Fernando Cobos
We study the description by means of the $J$-functional of logarithmic interpolation spaces $(A_0, A_1)_{1,q,\mathbb{A}}$ in the category of the $p$-normed quasi-Banach couples ($0 < p \leq 1$). When $(A_0, A_1)$ is a Banach couple, it is known that the description changes depending on the relationship between $q$ and $\mathbb{A}$. In our more general setting, the parameter $p$ also has an important
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Pseudo $S$-Asymptotically Bloch Type Periodicity with Applications to Some Evolution Equations Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2021-01-25 Yong-Kui Chang, Yanyan Wei
This paper is mainly focused upon the pseudo $S$-asymptotically Bloch type periodicity and its applications. Firstly, a new notion of pseudo $S$-asymptotically Bloch type periodic functions is introduced, and some fundamental properties on pseudo $S$-asymptotically Bloch type periodic functions are established. Then, the notion and properties of weighted pseudo $S$-asymptotically Bloch type periodic
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Existence and Uniqueness of Positive Solutions for a Singular Second-Order Integral Boundary Value Problem Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2021-01-25 Josefa Caballero, Belén López, Kishin Sadarangani
In this work, we discuss the existence and uniqueness of positive solutions for the second order integral boundary value problem $$ \left\{ \begin{aligned} x''(t) + f(t,x(t),(Hx)(t)) &=0, \quad 0 < t < 1,\\ x(0)=0,\quad x(1)&= \int_{0}^{1}a(s)x(s)ds, \end{aligned} \right. $$ where the function $f$ has a singularity at $t_{0}=0$. Our main tool is a fixed point theorem of Wardowski (2012). Moreover,
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Exact Controllability and Stabilization of Locally Coupled Wave Equations: Theoretical Results Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2021-01-25 Stéphane Gerbi, Chiraz Kassem, Amina Mortada, Ali Wehbe
In this paper, we study the exact controllability and stabilization of a system of two wave equations coupled by velocities with an internal, local control acting on only one equation. We distinguish two cases. In the first one, when the waves propagate at the same speed: using a frequency domain approach combined with multiplier technique, we prove that the system is exponentially stable when the
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Principal Frequency of $p$-Sub-Laplacians for General Vector Fields Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2021-01-25 Michael Ruzhansky, Bolys Sabitbek, Durvudkhan Suragan
In this paper, we prove the uniqueness and simplicity of the principal frequency (or the first eigenvalue) of the Dirichlet $p$-sub-Laplacian for general vector fields. As a byproduct, we establish the Caccioppoli inequalities and also discuss the particular cases on the Grushin plane and on the Heisenberg group.
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Positive Solutions for Non-Variational Fractional Elliptic Systems with Negative Exponents Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2021-01-25 Anderson L.A. de Araujo, Luiz F.O. Faria, Edir J.F. Leite, Olímpio H. Miyagaki
In this paper, we study strongly coupled elliptic systems in non-variational form with negative exponents involving fractional Laplace operators. We investigate the existence, nonexistence, and uniqueness of the positive classical solution. The results obtained here are a natural extension of the results obtained by Ghergu [J. Funct. Anal. 258 (2010), 3295–3318] for the fractional case.
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Singular Value Decomposition in Sobolev Spaces: Part II Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2020-10-22 Mazen Ali, Anthony Nouy
Under certain conditions, an element of a tensor product space can be identified with a compact operator and the singular value decomposition (SVD) applies to the latter. These conditions are not fulfilled in Sobolev spaces. In the previous part of this work (part I) [Z. Anal. Anwend. 39 (2020), 349–369], we introduced some preliminary notions in the theory of tensor product spaces. We analyzed low-rank
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Global Wellposedness and Large Time Behavior of Solutions to the Hall-Magnetohydrodynamics Equations Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2020-10-22 Xiaoping Zhai
We prove the global solutions to the incompressible Hall-magnetohydrodynamics (Hall-MHD) equations with small or some large initial data in $\mathbb R^n (n \geq 3)$. Especially, Fujita–Kato type initial data as the incompressible Navier–Stokes equations are allowed. We also study the large time behavior of the solutions and obtain an optimal decay rate in the general Besov spaces. Different from all
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Category Theorems for Schrödinger Semigroups Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2020-10-22 Moacir Aloisio, Silas L. Carvalho, César R. de Oliveira
Stimulated by the category theorems of Eisner and Serény in the setting of unitary and isometric $C_0$-semigroups on separable Hilbert spaces, we prove category theorems for Schrödinger semigroups. Speci cally, we show that, to a given class of Schrödinger semigroups, Baire generically the semigroups are strongly stable but not exponentially stable. We also present a typical spectral property of the
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Vector Valued Maximal Carleson Type Operators on the Weighted Lorentz Spaces Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2020-10-22 Dao Van Duong, Kieu Huu Dung, Nguyen Minh Chuong
In this paper, by using the idea of linearizing maximal operators originated by Charles Fefferman and the $TT*$ method of Stein–Wainger, we establish a weighted inequality for vector valued maximal Carleson type operators with singular kernels proposed by Andersen and John on the weighted Lorentz spaces with vector-valued functions.
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Differentiating Orlicz Spaces with Rectangles Having Fixed Shapes in a Set of Directions Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2020-10-22 Emma D'Aniello, Laurent Moonens
In the present note, we examine the behavior of some homothecy-invariant differentiation basis of rectangles in the plane satisfying the following requirement: for a given rectangle to belong to the basis, the ratio of the largest of its side-lengths by the smallest one (which one calls its shape) has to be a fixed real number depending on the angle between its longest side and the horizontal line
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Global Persistence of the Unit Eigenvectors of Perturbed Eigenvalue Problems in Hilbert Spaces Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2020-10-22 Pierluigi Benevieri, Alessandro Calamai, Massimo Furi, Maria Patrizia Pera
We consider the nonlinear eigenvalue problem $$Lx + \varepsilon N(x) = \lambda Cx, \quad \|x\|=1,$$ where $\varepsilon,\lambda$ are real parameters, $L, C\colon G \to H$ are bounded linear operators between separable real Hilbert spaces, and $N\colon S \to H$ is a continuous map defined on the unit sphere of $G$. We prove a global persistence result regarding the set $\Sigma$ of the solutions $(x,\varepsilon
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Fractional Orlicz–Sobolev Extension/Imbedding on Ahlfors $n$-Regular Domains Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2020-07-06 Tian Liang
In this paper we build up a criteria for fractional Orlicz–Sobolev extension and imbedding domains on Ahlfors $n$-regular domains.
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On Some Generic Small Cantor Spaces Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2020-07-06 Emma D'Aniello, Martina Maiuriello
Let $X = [0, 1]^n, n \geq 1$. We show that the typical (in the sense of Baire category) compact subset of $X$ is not only a zero dimensional Cantor space but it satisfies the property of being strongly microscopic, which is stronger than dimension zero.
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Fractional $p\&q$ Laplacian Problems in $\mathbb{R}^{N}$ with Critical Growth Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2020-07-06 Vincenzo Ambrosio
We deal with the following nonlinear problem involving fractional $p\&q$ Laplacians: \begin{equation*} (-\Delta)^{s}_{p}u+(-\Delta)^{s}_{q}u+|u|^{p-2}u+|u|^{q-2}u=\lambda h(x) f(u)+|u|^{q^{*}_{s}-2}u \quad \mbox{in } \mathbb{R}^{N}, \end{equation*} where $s\in (0,1)$, $1 < p < q < \frac{N}{s}$, $\q=\frac{Nq}{N-sq}$, $\lambda > 0$ is a parameter, $h$ is a nontrivial bounded perturbation and $f$ is a
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Partial Regularity Results for Quasimonotone Elliptic Systems with General Growth Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2020-07-06 Bianca Stroffolini
We present a partial Hölder regularity result for the gradient of solutions to quasimonotone systems: $$\mathrm div \:\mathbf A(\cdot,D\mathbf u) = \mathbf B(\cdot, D\mathbf u) \quad \text{in } \Omega,$$ on bounded domains in the weak sense. Here certain continuity, uniformly strictly quasimonotonicity, growth conditions are imposed on the coefficients, including an asymptotic Uhlenbeck behaviour close
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Singular Value Decomposition in Sobolev Spaces: Part I Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2020-07-06 Mazen Ali, Anthony Nouy
A well known result from functional analysis states that any compact operator between Hilbert spaces admits a singular value decomposition (SVD). This decomposition is a powerful tool that is the workhorse of many methods both in mathematics and applied fields. A prominent application in recent years is the approximation of high-dimensional functions in a low-rank format. This is based on the fact
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New Fixed Point Theorem for Discontinuous Operators in Cones and Applications Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2020-04-07 Jorge Rodríguez-López
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Existence and New General Decay Results for a Viscoelastic Timoshenko System Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2020-04-07 Jamilu Hashim Hassan,Salim Messaoudi,Mostafa Zahri
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Connections Between Optimal Constants in some Norm Inequalities for Differential Forms Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2020-04-07 Sándor Zsuppán
We derive an improved Poincare inequality in connection with the Babuska-Aziz and Friedrichs-Velte inequalities for differential forms by estimating the domain specific optimal constants figuring in the respective inequalities with each other provided the domain supports the Hardy inequality. We also derive upper estimates for the constants of a star-shaped domain by generalizing the known Horgan-Payne
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Nonlocal Averages in Space and Time Given by Medians and the Mean Curvature Flow Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2020-04-07 Gaston Beltritti,Julio Rossi
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Harnack Type Inequalities and Multiple Solutions in Cones of Nonlinear Problems Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2020-04-07 Diana-Raluca Herlea,Donal O'Regan,Radu Precup
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Littlewood–Paley Characterizations of Weighted Anisotropic Triebel–Lizorkin Spaces via Averages on Balls II Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2020-01-24 Jun Liu,Dachun Yang,Wen Yuan
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$p$-Regularity and Weights for Operators Between $L^p$-Spaces Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2020-01-24 Enrique Sánchez Pérez,Pedro Tradacete
We explore the connection between $p$-regular operators on Banach function spaces and weighted $p$-estimates. In particular, our results focus on the following problem. Given finite measure spaces $\mu$ and $\nu$, let $T$ be an operator defined from a Banach function space $X(\nu)$ and taking values on $L^p (v d \mu)$ for $v$ in certain family of weights $V\subset L^1(\mu)_+$: we analyze the existence
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Blow-Up Criterion of Strong Solution with Vacuum for the 2D Nonhomogeneous Density-Temperature-Dependent Boussinesq Equations Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2020-01-24 Zhuan Ye
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The Cauchy Problem for Thermoelastic Plates with Two Temperatures Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2020-01-24 Reinhard Racke,Yoshihiro Ueda
We consider the decay rates of solutions to thermoelastic systems in materials where, in contrast to classical thermoelastic models for Kirchhoff type plates, two temperatures are involved, related by an elliptic equation. The arising initial value problems deal with systems of partial differential equations involving Schrödinger like equations, hyperbolic and elliptic equations. Depending on the model
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Measures of Non-Compactness and Sobolev–Lorentz Spaces Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2020-01-24 Ondřej Bouchala
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Global Bifurcation from Intervals for Problems with Pucci's Operator Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2020-01-24 Hua Luo,Guowei Dai
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Blow-Up Phenomena for the Periodic Two-Component Degasperis–Procesi System Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2019-10-23 Xingxing Liu
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Order Continuous Operators on Pre-Riesz Spaces and Embeddings Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2019-10-23 Anke Kalauch,Helena Malinowski
We investigate properties of order continuous operators on pre-Riesz spaces with respect to the embedding of the range space into a vector lattice cover or, in particular, into its Dedekind completion. We show that order continuity is preserved under this embedding for positive operators, but not in general. For the vector lattice $\ell_0^\infty$ of eventually constant sequences, we consider the pre-Riesz
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Analysis of a Viscous Two-Field Gradient Damage Model II: Penalization Limit Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2019-10-23 Christian Meyer,Livia Mihaela Susu
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Littlewood–Paley Characterizations of Weighted Anisotropic Triebel–Lizorkin Spaces via Averages on Balls I Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2019-10-23 Jun Liu,Dachun Yang,Wen Yuan
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Fractional $p$-Laplacian Problems with Hardy Terms and Critical Exponents Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2019-10-23 Alessio Fiscella,Hadi Mirzaee
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New Young Inequalities and Applications Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2019-10-23 Pedro Fernández-Martínez,Eduardo Brandani da Silva
We establish upper bounds for the convolution operator acting between interpolation spaces. This will provide several examples of Young Inequalities in different families of function spaces. We use this result to prove a bilinear interpolation theorem and we show applications to the study of bilinear multipliers.
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On Morrey and BMO Regularity for Gradients of Minima of Certain Non-Differentiable Functioals Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2019-07-15 Josef Daněček,Eugen Viszus
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Analysis of a Viscous Two-Field Gradient Damage Model I: Existence and Uniqueness Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2019-07-15 Christian Meyer,Livia Mihaela Susu
The paper deals with a viscous damage model including two damage variables, a local and a non-local one, which are coupled through a penalty term in the free energy functional. Under certain regularity conditions for linear elasticity equations, existence and uniqueness of the solution is proven, provided that the penalization parameter is chosen sufficiently large. Moreover, the regularity of the
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Existence of Fixed Points in a Class of Convex Sets Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2019-07-15 Anna Betiuk,Tomás Domínguez Benavides,Maria Japón
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On the Existence and Uniqueness of Mild and Strong Solutions of a Generalized Nonlinear Heat Equation Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2019-07-15 Franka Baaske,Hans-Jürgen Schmeisser
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Some Remarks on Multiplier Spaces II: BV-Type Spaces Z. für Anal. ihre Anwend. (IF 1.2) Pub Date : 2019-07-15 Daria Bugajewska,Simon Reinwand