RETRACTED: Multiple nodal solutions for quasilinear elliptic problems involving Hardy-Sobolev critical exponents in symmetric domain (Retracted Article)

In this paper we obtain the existence of multiple nodal solutions for quasilinear elliptic equation with Hardy-Sobolev critical exponents of the type [GRAPHICS] where Omega is a bounded domain with smooth boundary in R-N and contains 0 in its interior, -Delta pu =-div(vertical bar del u vertical bar(p-2)del u), 1 < p < N, 0 <= s <= p, p <= q < p*, lambda is a positive parameter, and [GRAPHICS] By Lusternik-Schnirel mann category theory, we show the effect of the domain topology on the number of minimal nodal solutions for (P-lambda(0)). (c) 2007 Elsevier Inc. All rights reserved.