NONNEGATIVE SOLUTIONS FOR INDEFINITE SUBLINEAR ELLIPTIC PROBLEMS

被引：2

作者：

De Paiva, Francisco Odair ^{[1
]}

机构：

[1] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP, Brazil

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2012年 / 14卷 / 03期

基金：

巴西圣保罗研究基金会;

关键词：

Positive solution; indefinite sublinear nonlinearity; concave-convex nonlinearity; CONVEX NONLINEARITIES; LOCAL SUPERLINEARITY; DIRICHLET PROBLEMS; POSITIVE SOLUTIONS; MULTIPLICITY; EQUATIONS; CONCAVE;

D O I：

10.1142/S0219199712500216

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the study of existence, nonexistence and multiplicity of positive solutions for the semilinear elliptic problem -Delta u = lambda u + g(x, u) in Omega u = 0 on partial derivative Omega, where Omega is a bounded domain of R-N, lambda is an element of R and g(x, u) is a Caratheodory function. The obtained results apply to the following classes of nonlinearities: a(x)u(q) + b(x)u(p) and c(x)(1 + u)(p) (0 <= q < 1 < p). The proofs rely on the sub-super solution method and the mountain pass theorem.

引用

页数：20

共 26 条

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