Existence results for nonlinear elliptic problems

被引：6

作者：

Bonanno, Gabriele ^{[1
]}

Pizzimenti, Pasquale F. ^{[2
]}

机构：

[1] Univ Messina, Dept Sci Engn & Architecture, Math Sect, Fac Engn, I-98166 Messina, Italy

[2] Univ Messina, Dept Math, I-98166 Messina, Italy

来源：

APPLICABLE ANALYSIS | 2013年 / 92卷 / 02期

关键词：

Dirichlet problem; positive solutions; critical points; 35J20; 35J60; 35J91; P-LAPLACIAN; PRINCIPLE; EQUATIONS;

D O I：

10.1080/00036811.2011.625013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of non-trivial solutions for nonlinear Dirichlet problems involving the p-Laplacian is investigated. In particular, an existence result of at least one non-trivial solution, without requiring any asymptotic condition on the nonlinear term either at zero or at infinity, is presented. As a consequence, also a multiplicity result is pointed out. The approach is based on a local minimum theorem for differentiable functionals.

引用

页码：411 / 423

页数：13

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