Existence of weak solutions for a quasilinear equation in RN

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:395

Article

Massar, M.¹  Tsouli, N.¹  Hamydy, A.² 

[1] Univ Mohamed I, Fac Sci, Dept Math, Oujda, Morocco

[2] CfI, Tetouane, Morocco

关键词: Potentials;    p-Laplacian;    Parameter;    Mountain pass;   

DOI  :  10.1016/j.jmaa.2012.05.068

来源: Elsevier

【 摘 要 】

This paper studies the p-Laplacian equation -Delta(p)u + lambda V-lambda(X)vertical bar u vertical bar(p-2)u = f(x, u) in R-N, where 1 < p < N, lambda >= 1 and V-lambda (x) is a nonnegative continuous function. Under some conditions on f (x, u) and V-lambda(x), we prove the existence of nontrivial solutions for lambda sufficiently large. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free