Existence of positive solutions for a class of p&q elliptic problems with critical growth on RN

This paper is concerned with the existence of positive solutions to the class of p&q elliptic problems with critical growth type -div(a(vertical bar del u vertical bar(P))vertical bar del u vertical bar(P-2)del u) + b(vertical bar u vertical bar(P))vertical bar u vertical bar(P-2)u = lambda integral (u) + vertical bar u vertical bar (gamma*-2)u, u(z) > 0, for all X is an element of R-N where A is a positive parameter, a : R -> R lit is a function of C-1 class and b, f : R -> R are continuous functions. (C) 2011 Elsevier Inc. All rights reserved.