On a class of sublinear singular elliptic problems with convection term

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:311

Article

Ghergu, M ; Radulescu, V

关键词: singular elliptic equation;    sublinear boundary value problem;    maximum principle;    convection term;    bifurcation;   

DOI  :  10.1016/j.jmaa.2005.03.012

来源: Elsevier

【 摘 要 】

We establish several results related to existence, nonexistence or bifurcation of positive solutions for the boundary value problem -Delta u + K(x)g(u) + vertical bar del u vertical bar(a) = lambda f(x, u) in 52, u = 0 on partial derivative Omega, where Omega subset of R-N (N >= 2) is a smooth bounded domain, 0 < a <=, 2, lambda is a positive parameter, and f is smooth and has a sublinear growth. The main feature of this paper consists in the presence of the singular nonlinearity g combined with the convection term vertical bar del u vertical bar(a). Our approach takes into account both the sign of the potential K and the decay rate around the origin of the singular nonlinearity g. The proofs are based on various techniques related to the maximum principle for elliptic equations. (c) 2005 Elsevier Inc. All rights reserved.

【 授权许可】

Free