Existence of a positive solution for a Kirchhoff problem type with critical growth via truncation argument

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:401

Article

Figueiredo, Giovany M.

关键词: Variational methods;    Nonlocal problems;    Kirchhoff equation;    Critical growth;   

DOI  :  10.1016/j.jmaa.2012.12.053

来源: Elsevier

【 摘 要 】

In this paper we shall show an existence result of a positive solution for a Kirchhoff problem type in a bounded domain of R-N, that is, for the problem -M (integral(Omega) \del u\(2) dx) Delta u = lambda f(x, u) + \u\(2*-2)u in Omega, u = 0 on partial derivative Omega. We shall study the asymptotic behavior of this solution when lambda converges to infinity. Our approach is based on the variational method, an appropriated truncated argument, and a priori estimates to obtain the solution. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

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