POSITIVE SOLUTIONS TO A DIRICHLET PROBLEM WITH p-LAPLACIAN AND CONCAVE-CONVEX NONLINEARITY DEPENDING ON A PARAMETER

被引：51

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：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2013年 / 12卷 / 02期

关键词：

Concave-convex nonlinearities; p-Laplacian; positive solutions; QUASILINEAR ELLIPTIC-EQUATIONS; AMBROSETTI; MULTIPLICITY; EXPONENTS; SOBOLEV;

D O I：

10.3934/cpaa.2013.12.815

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A nonlinear elliptic equation with p-Laplacian, concave-convex reaction term depending on a parameter lambda > 0, and homogeneous boundary condition, is investigated. A bifurcation result, which describes the set of positive solutions as lambda varies, is obtained through variational methods combined with truncation and comparison techniques.

引用

页码：815 / 829

页数：15

共 18 条

[1] COMBINED EFFECTS OF CONCAVE AND CONVEX NONLINEARITIES IN SOME ELLIPTIC PROBLEMS [J].