SOME REMARKS ON THE EQUATION FOR VARYING λ,pAND VARYING DOMAINS*
Filippo Gazzola, Andrea Malchiodi · Communications in Partial Differential Equations · 2002
We consider positive solutions of the equation with Dirichlet boundary conditions in a smooth bounded domain Ω for λ > 0 and p > 1. We study the behavior of the solutions for varying λ, p and varying domains Ω in different limiting situations.