Necessary and sufficient conditions of existence for a system involving the p-Laplacian (1

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:189

Article

Chaïb, K

关键词: p-Laplacian;    existence;    system;    unbounded domain;    sub, super-solution;    Picone's identity;   

DOI  :  10.1016/S0022-0396(02)00094-3

来源: Elsevier

【 摘 要 】

In this work, we study the existence of positive solutions for the system [GRAPHICS] where Delta(p)u = div(\delu\(p-2)Deltau) is the p-Laplacian (1 < p < N). We prove that for 0 < mu less than or equal to mu* (P) admits a positive solution and that (Y) has no positive solution for mu > mu*. In some case we can have mu* = mu* because these parameters depend on p, N and the growth of f and g. The existence result is related to a sub,super-solution methods and the nonexistence result is a consequence of Picone's identity. (C) 2002 Elsevier Science (USA). All rights reserved.

【 授权许可】

Free