[Techniques λ-bonnes généralisées et applications à la régularité de Lorentz pondérée des équations elliptiques quasi linéaires]
Le but de cette Note est de donner des conditions suffisantes, dites λ-bonnes généralisées, pour la comparaison de deux fonctions mesurables dans les espaces de Lorentz pondérés. De plus, nous présentons des applications de ces résultats aux estimations de gradient des solutions aux problèmes elliptiques quasi linéaires dans les espaces de Lorentz pondérés.
The aim of this paper is to give some sufficient conditions, called generalized good-λ conditions, to obtain the weighted Lorentz comparisons between two measurable functions. Moreover, we also present several applications of these results for the gradient estimates of solutions to quasilinear elliptic problems in weighted Lorentz spaces.
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@article{CRMATH_2019__357_8_664_0,
author = {Minh-Phuong Tran and Thanh-Nhan Nguyen},
title = {Generalized good-\protect\emph{\ensuremath{\lambda}} techniques and applications to weighted {Lorentz} regularity for quasilinear elliptic equations},
journal = {Comptes Rendus. Math\'ematique},
pages = {664--670},
publisher = {Elsevier},
volume = {357},
number = {8},
year = {2019},
doi = {10.1016/j.crma.2019.08.002},
language = {en},
}
TY - JOUR AU - Minh-Phuong Tran AU - Thanh-Nhan Nguyen TI - Generalized good-λ techniques and applications to weighted Lorentz regularity for quasilinear elliptic equations JO - Comptes Rendus. Mathématique PY - 2019 SP - 664 EP - 670 VL - 357 IS - 8 PB - Elsevier DO - 10.1016/j.crma.2019.08.002 LA - en ID - CRMATH_2019__357_8_664_0 ER -
%0 Journal Article %A Minh-Phuong Tran %A Thanh-Nhan Nguyen %T Generalized good-λ techniques and applications to weighted Lorentz regularity for quasilinear elliptic equations %J Comptes Rendus. Mathématique %D 2019 %P 664-670 %V 357 %N 8 %I Elsevier %R 10.1016/j.crma.2019.08.002 %G en %F CRMATH_2019__357_8_664_0
Minh-Phuong Tran; Thanh-Nhan Nguyen. Generalized good-λ techniques and applications to weighted Lorentz regularity for quasilinear elliptic equations. Comptes Rendus. Mathématique, Volume 357 (2019) no. 8, pp. 664-670. doi : 10.1016/j.crma.2019.08.002. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2019.08.002/
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