具有低阶项和硬势的椭圆 $$p(x)-$$ 拉普拉卡方程解的正则性

IF 1.1 4区数学 Q1 MATHEMATICS

Ricerche di Matematica Pub Date : 2023-12-26 DOI:10.1007/s11587-023-00823-8

Hichem Khelifi, Karima Ait-Mahiout

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引用次数: 0

摘要

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。

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

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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来源期刊

Ricerche di Matematica Mathematics-Applied Mathematics

CiteScore

3.00

自引率

8.30%

发文量

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.