On the existence of positive solutions of nonlinear elliptic equations with a p-Laplace operator involving critical Sobolev exponents

摘要

Let be bounded domain in IRN, N p + 1 we will study theexistence of a solution u for the following non linear elliptic equation8 0 in u = 0 in @ ;(0.1)where q is the critical Sobolev embedding, i.e q + 1 = NpN??p , f(x; 0) = 0and f(x; u) is a lower-order perturbation of u.