The Nehari Manifold Approach Involving a Singular p(x)-Biharmonic Problem with Navier Boundary Conditions

被引：0
|
作者：
Lamine Mbarki
机构：
[1] Tunis El Manar University,Department of Mathematics, Faculty of Sciences
来源：
Acta Applicandae Mathematicae | 2022年 / 182卷
关键词：
p(x)-Biharmonic operator; Generalized Sobolev spaces; Variational method; Nehari manifold;
D O I：
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摘要：
Using variational tools combined with Nehari manifold approach, we discuss in this paper, the existence of solutions for a class of singular p(x)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$p(x)$\end{document}-biharmonic Laplacian problem with Navier boundary conditions. Precisely, we prove the existence of at least two nonnegative solutions for the given problem.
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