Weak solutions to Dirichlet boundary value problem driven by p(x)-Laplacian-like operator

被引：19

作者：

Vetro, Calogero ^{[1
]}

机构：

[1] Univ Palermo, Dept Math & Comp Sci, Via Archirafi 34, I-90123 Palermo, Italy

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2017年 / 98期

关键词：

Dirichlet boundary value problem; p(x)-Laplacian-like operator; variable exponent Sobolev space; EXISTENCE; MULTIPLICITY; SPACES;

D O I：

10.14232/ejqtde.2017.1.98

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of weak solutions to the Dirichlet boundary value problem for equations involving the p(x)-Laplacian-like operator in the principal part, with reaction term satisfying a sub-critical growth condition. We establish the existence of at least one nontrivial weak solution and three weak solutions, by using variational methods and critical point theory.

引用

页码：1 / 10

页数：10

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