Existence and regularity of solutions of nonlinear anisotropic elliptic problem with Hardy potential-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

Existence and regularity of solutions of nonlinear anisotropic elliptic problem with Hardy potential

Published:2023-12-22 Issue: Volume: Page:1-13
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Khelifi Hichem¹²³

Affiliation:

1. Department of Mathematics, University of Algiers 1, Algiers, Algeria

2. Laboratory of Mathematical Analysis and Applications, University of Algiers 1, Algiers, Algeria

3. Laboratory of Nonliner Partial Differtial Equations and HM, ENS-Kouba, Algiers, Algeria

Abstract

In this paper, we are interested in the existence and regularity of solutions for some anisotropic elliptic equations with Hardy potential and L m ( Ω ) data in appropriate anisotropic Sobolev spaces. The aim of this work is to get natural conditions to show the existence and regularity results for the solutions, that is related to an anisotropic Hardy inequality.

Publisher

IOS Press

Subject

General Mathematics

Reference12 articles.

1. Quasilinear elliptic problem with Hardy potential and singular term;Abdellaoui;Commun. Pure Appl. Anal,2013

2. Some improved Caffarelli–Kohn–Nirenberg inequalities;Abdellaoui;Calc. Var,2005

3. J. Bear, Dynamics of Fluids in Porous Media, American Elsevier, New York, 1972.

4. On some anisotropic reaction-diffusion systems with L 1 -data modeling the propagation of an epidemic disease;Bendahmane;Nonlinear Anal,2003

5. Anisotropic equations in L 1;Boccardo;Differential Integral Equations,1996

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP