Positive solutions to quasilinear equations involving critical exponent on perturbed annular domains

Abstract

In this paper we study the existence of positive solutions for the problem -Δpup*-1 in Ω and u = 0 on ∂Ω where Ω is a perturbed annular domain (see definition in the introduction) and N > p ≥ 2. To prove our main results, we use the Concentration-Compactness Principle and variational techniques.