Remarks on Nonlocal Dirichlet Problems

被引：0

作者：

Albalawi, Kholoud Saad ^{[1
]}

Bin-Asfour, Mona ^{[1
]}

Vetro, Francesca

机构：

[1] Imam Mohammad Ibn Saud Islamic Univ, Coll Sci, Dept Math & Stat, POB 90950, Riyadh 11623, Saudi Arabia

来源：

MATHEMATICS | 2022年 / 10卷 / 09期

关键词：

(p(b(u)); q(b(u)))-Laplacian operator; integrable data; nonlocal problem; nontrivial weak solution; REGULARITY; EXISTENCE;

D O I：

10.3390/math10091546

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a nonlocal Dirichlet problem with the (p(b(u)),q(b(u)))-Laplacian operator and integrable data on a bounded domain with smooth boundary. We establish the existence of at least one weak solution in the case the variable exponents of the leading operator depend on the solution u, without assuming any growth conditions on g. The proof is based on the characterization of the energy functional associated to the problem, using the methods of the calculus of variations.

引用

页数：14

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