On the exterior Neumann problem involving the critical Sobolev exponent

Jan Chabrowski, Pedro M. Girāo

DOI: http://dx.doi.org/10.12775/TMNA.2004.002

Abstract


In this paper we consider the exterior Neumann problem (P)
involving the critical Sobolew exponent.
We investigate two cases where the coefficient $a$ interferes
or not with the spectrum of the Lapalce operator with the Neumann
boundary conditions. In both cases we establish the existence of solutions.

Keywords


Exterior Neumann problem; critical Sobolev exponent; constrained minimization; linking

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