Infinitely many sign-changing solutions for a Schrodinger equation in RN

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:354

Article

Hong, Mingli

关键词: Schrodinger equations;    Invariant sets;    Multiple solutions;    Sign-changing solutions;    Fountain Theorem;   

DOI  :  10.1016/j.jmaa.2009.01.018

来源: Elsevier

【 摘 要 】

In this paper, we consider a Schrodinger equation - Delta u + (lambda a(x) + 1)u = f(u). Applying Principle of Symmetric Criticality and the invariant set method, under some assumptions on a and f, we obtain an unbounded sequence of radial sign-changing solutions for the above equation in R-N when lambda > 0 large enough. As N = 4 or N >= 6, lambda > 0 given, using Fountain Theorem and the Principle of Symmetric Criticality, we prove that there exists an Unbounded sequence of non-radial sign-changing solutions for the above equation in R-N. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

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