带哈迪势的非线性各向异性椭圆问题解的存在性和正则性

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED

Asymptotic Analysis Pub Date : 2023-12-22 DOI:10.3233/asy-231889

H. Khelifi

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引用次数: 0

摘要

在本文中，我们感兴趣的是在适当的各向异性索波列夫空间中，一些具有哈代势和 L m ( Ω ) 数据的各向异性椭圆方程的解的存在性和正则性。这项工作的目的是获得自然条件以显示解的存在性和正则性结果，这与各向异性哈代不等式有关。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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.

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来源期刊

Asymptotic Analysis 数学-应用数学

CiteScore

1.90

自引率

7.10%

发文量

审稿时长

6 months

期刊介绍： The journal Asymptotic Analysis fulfills a twofold function. It aims at publishing original mathematical results in the asymptotic theory of problems affected by the presence of small or large parameters on the one hand, and at giving specific indications of their possible applications to different fields of natural sciences on the other hand. Asymptotic Analysis thus provides mathematicians with a concentrated source of newly acquired information which they may need in the analysis of asymptotic problems.