On semilinear elliptic equations involving concave-convex nonlinearities and sign-changing weight function

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:318

Article

Wu, TF

关键词: semilinear elliptic equations;    Nehari manifold;    concave-convex nonlinearities;   

DOI  :  10.1016/j.jmaa.2005.05.057

来源: Elsevier

【 摘 要 】

In this paper, we study the combined effect of concave and convex nonlinearities on the number of positive solutions for semilinear elliptic equations with a sign-changing weight function. With the help of the Nehari manifold, we prove that there are at least two positive solutions for Eq. (E-lambda,E-f) in bounded domains. (c) 2005 Elsevier Inc. All rights reserved.

【 授权许可】

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