Local minimizers over the Nehari manifold for a class of concave-convex problems with sign changing nonlinearity

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:265

Article

Silva, Kaye¹  Macedo, Abiel¹ 

[1] Univ Fed Goias, Inst Matemat & Estat, BR-74001970 Goiania, Go, Brazil

关键词: Concave-convex;    p-Laplacian;    Variational methods;    Bifurcation;    Nehari manifold;    Fibering method;   

DOI  :  10.1016/j.jde.2018.04.018

来源: Elsevier

【 摘 要 】

We study a p-Laplacian equation involving a parameter lambda and a concave-convex nonlinearity containing a weight which can change sign. By using the Nehari manifold and the fibering method, we show the existence of two positive solutions on some interval (0, lambda* + epsilon), where lambda* can be characterized variationally. We also study the asymptotic behavior of solutions when lambda down arrow 0. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free