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.
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页码：257 / 275
页数：19
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