Semilinear elliptic Problems with asymmetric nonlinearities

被引：22
|
作者：
de Paiva, Francisco Odair [1 ]
Presoto, Adilson E. [1 ]
机构：
[1] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP, Brazil
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 409卷 / 01期
基金：
巴西圣保罗研究基金会;
关键词：
Positive solution; Indefinite sublinear nonlinearity; Concave-convex nonlinearity; Critical growth; MULTIPLICITY; EQUATIONS; CONCAVE; SYSTEMS;
D O I：
10.1016/j.jmaa.2013.06.042
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we are concerned on the semilinear elliptic problem {-Delta u = -lambda vertical bar u vertical bar(q-2)u + au + b(u(+))(p-1) in Omega, u = 0, on partial derivative Omega, where Omega subset of R-N is a bounded domain with regular boundary partial derivative Omega, 1 < q < 2 < p <= 2*. If a is between two eigenvalues, we get the existence of three nontrivial solutions for the problem above. (C) 2013 Elsevier Inc. All rights reserved.
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页码：254 / 262
页数：9
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