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.
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收藏
页码：1 / 10
页数：10
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