Regularity for solutions of elliptic $$p(x)-$$ Laplacian type equations with lower order terms and hardy potential

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-12-26 DOI:10.1007/s11587-023-00823-8

Hichem Khelifi, Karima Ait-Mahiout

引用次数: 0

Abstract

This paper aims to investigate a type of nonlinear elliptic equation that contains a Hardy potential, lower order term and $L^{m(.)}$ datum in the setting of Sobolev spaces with variable exponent. Despite the presence of a Hardy potential, the existence of solutions and regularizing effect of some lower order terms in $p(x)-$Laplacian type elliptic equations are proved.

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具有低阶项和硬势的椭圆 $$p(x)-$$ 拉普拉卡方程解的正则性

本文旨在研究在具有可变指数的索波列夫空间中包含哈代势、低阶项和$L^{m(.)}$基准的一类非线性椭圆方程。尽管存在哈代势垒，但仍证明了 $p(x)-$Laplacian 型椭圆方程中一些低阶项的解的存在性和正则效应。

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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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.