On multiple solutions of the exterior Neumann problem involving critical Sobolev exponent

Jan Chabrowski, Michael Willem

DOI: http://dx.doi.org/10.12775/TMNA.2005.026

Abstract


In this paper we consider the exterior Neumann problem involving a critical
Sobolev exponent. We establish the existence of two solutions having a
prescribed limit at infinity.

Keywords


Neumann problem; critical Sobolev exponent; multiple solutions

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