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.