Asymptotic behaviour of positive solutions of elliptic equations with critical and supercritical growth. II. The nonradial case

Abstract

We consider positive solutions u ε of a family of elliptic boundary value Problems (I ε). As ε → 0, they approach, in some sense, the Problem (I 0) which has a nonlinearity with critical or supercritical growth. It is shown how the solution u ε concentrates at a point, how this happens asymptotically, and where in the domain it happens.