Positive solutions for Kirchhoff-type equations with critical exponent in RN

In this paper, we study the following nonlinear Kirchhoff-type equation {- (a+b integral vertical bar del u vertical bar(2)dx) Delta u = vertical bar u vertical bar(2*-2)u + mu h(x), x is an element of R-N u is an element of D-1,D-2(R-N), where a >= 0, b > 0, N >= 3, 2* = 2N/N-2, mu >= 0 and h is an element of L2*/2*-1 (R-N)\{0} is nonnegative. By using the variational method, we obtain the existence of positive solutions for Eq. (0.1), under some assumptions on a, b, mu. (C) 2015 Elsevier Inc. All rights reserved..