# American Institute of Mathematical Sciences

July  1998, 4(3): 445-454. doi: 10.3934/dcds.1998.4.445

## On the behaviour of the solutions for a class of nonlinear elliptic problems in exterior domains

 1 Dipartimento di Matematica, Università di Pisa, Via Buonarroti, 2, 56127 PISA, Italy 2 Dipartimento di Matematica, Università di Pisa, Via Buonarroti, 2 56127 - PISA

Received  February 1997 Revised  July 1997 Published  April 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.
Citation: Riccardo Molle, Donato Passaseo. On the behaviour of the solutions for a class of nonlinear elliptic problems in exterior domains. Discrete & Continuous Dynamical Systems, 1998, 4 (3) : 445-454. doi: 10.3934/dcds.1998.4.445
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