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

IF 1.1 4区 数学 Q1 MATHEMATICS
Hichem Khelifi, Karima Ait-Mahiout
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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.

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
Ricerche di Matematica
Ricerche di Matematica Mathematics-Applied Mathematics
CiteScore
3.00
自引率
8.30%
发文量
61
期刊介绍: “Ricerche di Matematica” publishes high-quality research articles in any field of pure and applied mathematics. Articles must be original and written in English. Details about article submission can be found online.
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