Multiple solutions to a Dirichlet problem with p-Laplacian and nonlinearity depending on a parameter

被引：17

作者：

Marano, Salvatore A. ^{[1
]}

Papageorgiou, Nikolaos S. ^{[2
]}

机构：

[1] Univ Catania, Dipartimento Matemat & Informat, I-95125 Catania, Italy

[2] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece

来源：

ADVANCES IN NONLINEAR ANALYSIS | 2012年 / 1卷 / 03期

关键词：

Concave-convex nonlinearities; p-Laplacian; constant-sign solutions; multiple solutions; CRITICAL-POINT THEORY; EXISTENCE; CONCAVE;

D O I：

10.1515/anona-2012-0005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The homogeneous Dirichlet problem for an elliptic equation with p-Laplacian and concave-convex reaction term depending on a parameter lambda > 0 is investigated. At least five nontrivial solutions for all lambda sufficiently small are obtained via variational methods, truncation techniques and sub- and super-solution arguments. The special case p = 2 is also examined.

引用

页码：257 / 275

页数：19

共 26 条

[1] Multiplicity results for some nonlinear elliptic equations [J].