Existence of positive entire solutions for singular and non-singular quasi-linear elliptic equation

[摘要] We consider the quasilinear elliptic equation div(vertical bar del u vertical bar(p-2)del u) + lambda m(x)u(gamma) = 0 in domain Omega = R-N, where > 0, p > 1. Under several hypotheses on the m(x), gamma, we obtain the existence of positive entire solutions. (c) 2005 Elsevier B.V. All rights reserved.

[发布日期] 2006-12-15

[关键词] quasi-linear elliptic equation;positive entire solution;existence