Existence of weak solutions for some local and nonlocal p-Laplacian problem

被引：3

作者：

Allalou, Chakir ^{[1
]}

Hilal, Khalid ^{[1
]}

Temghart, Said Ait ^{[1
]}

机构：

[1] Sultan Moulay Slimane Univ, Lab LMACS, FST Beni Mellal, Beni Mellal, Morocco

来源：

JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS | 2022年 / 8卷 / 01期

关键词：

p(u)-Laplacian; Elliptic problems; Weak solutions; VARIABLE EXPONENT;

D O I：

10.1007/s41808-021-00143-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the existence of weak solutions for some elliptic p-Laplacian problems in the case where p depends on the solution itself. We consider two situations, when p is a local and nonlocal quantity. The main aim of this paper is to extend the results established by Chipot and de Oliveira (Math Ann 375:283-306, 2019).

引用

页码：151 / 169

页数：19

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