Semilinear elliptic Problems with asymmetric nonlinearities

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:409

Article

de Paiva, Francisco Odair¹  Presoto, Adilson E.¹ 

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

关键词: Positive solution;    Indefinite sublinear nonlinearity;    Concave-convex nonlinearity;    Critical growth;   

DOI  :  10.1016/j.jmaa.2013.06.042

来源: Elsevier

【 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.

【 授权许可】

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