Open Access Research Article

Existence Result for a Class of Nonlinear Elliptic Systems on Punctured Unbounded Domains

Fabrice Colin

Author Affiliations

Mathematics and Computer Science, Laurentian University, Sudbury, ON, Canada, P3E 2C6

Boundary Value Problems 2010, 2010:175409  doi:10.1155/2010/175409


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Received:30 April 2009
Revisions received:10 November 2009
Accepted:13 January 2010
Published:10 February 2010

© 2010 The Author(s).

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We establish the existence of a nontrivial solution for systems with an arbitrary number of coupled Poisson equations with critical growth in punctured unbounded domains. The proof depends on a generalized linking theorem due to Krysewski and Szulkin, and on a concentration-compactness argument, proved by Frigon and the author. Applications to reaction-diffusion systems with skew gradient structure are also discussed in the last section.

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