On the behaviour of the solutions for a class of nonlinear elliptic problems in exterior domains
Riccardo Molle, Donato Passaseo · Discrete and Continuous Dynamical Systems · 1998
We state a result concerning the limit of a class of minimization problems. This result is applied to describe the asymptotic behaviour of the solutions of an elliptic Dirichlet problem in exterior domains $\Omega$ of $\mathbb{R}^N$, when $\mathbb{R}^N$ \ $Omega$ becomes larger and larger.