当前位置:
X-MOL 学术
›
Math. Methods Appl. Sci.
›
论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Lorentz estimates for quasilinear elliptic double obstacle problems involving a Schrödinger term
Mathematical Methods in the Applied Sciences ( IF 2.9 ) Pub Date : 2021-01-20 , DOI: 10.1002/mma.7173 Thanh‐Nhan Nguyen 1 , Minh‐Phuong Tran 2
Mathematical Methods in the Applied Sciences ( IF 2.9 ) Pub Date : 2021-01-20 , DOI: 10.1002/mma.7173 Thanh‐Nhan Nguyen 1 , Minh‐Phuong Tran 2
Affiliation
Our goal in this article is to study the global Lorentz estimates for gradient of weak solutions to p‐Laplace double obstacle problems involving the Schrödinger term: with bound constraints ψ1 ≤ u ≤ ψ2 in nonsmooth domains. This problem has its own interest in mathematics, engineering, physics, and other branches of science. Our approach makes a novel connection between the study of Calderón‐Zygmund theory for nonlinear Schrödinger type equations and variational inequalities for double obstacle problems.
中文翻译:
Lorentz估计涉及Schrödinger项的拟线性椭圆双障碍问题
本文的目标是研究涉及Schrödinger项的p -Laplace双障碍问题的弱解的梯度的全球Lorentz估计:具有结合的约束ψ 1 ≤ ü ≤ ψ 2在非光滑结构域。这个问题在数学,工程学,物理学和其他科学领域都有自己的兴趣。我们的方法在研究非线性Schrödinger型方程的Calderón-Zygmund理论与双障碍问题的变分不等式之间建立了新颖的联系。
更新日期:2021-01-20
中文翻译:
Lorentz估计涉及Schrödinger项的拟线性椭圆双障碍问题
本文的目标是研究涉及Schrödinger项的p -Laplace双障碍问题的弱解的梯度的全球Lorentz估计:具有结合的约束ψ 1 ≤ ü ≤ ψ 2在非光滑结构域。这个问题在数学,工程学,物理学和其他科学领域都有自己的兴趣。我们的方法在研究非线性Schrödinger型方程的Calderón-Zygmund理论与双障碍问题的变分不等式之间建立了新颖的联系。