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

Advances in Nonlinear Analysis

article

Salvatore A. Marano¹  Nikolaos S. Papageorgiou² 

[1] Dipartimento di Matematica e Informatica, Università degli Studi di Catania;Department of Mathematics, National Technical University of Athens, Zografou Campus

关键词: Concave-convex nonlinearities;    p-Laplacian;    constant-sign solutions;    multiple solutions;   

DOI  :  10.1515/anona-2012-0005

学科分类：社会科学、人文和艺术（综合）

来源: De Gruyter

【 摘 要 】

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

【 授权许可】

CC BY