Skip to content


Open Access

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

Boundary Value Problems20102010:175409

Received: 30 April 2009

Accepted: 13 January 2010

Published: 10 February 2010


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.


Differential EquationPartial Differential EquationOrdinary Differential EquationFunctional EquationArbitrary Number

Publisher note

To access the full article, please see PDF.

Authors’ Affiliations

Mathematics and Computer Science, Laurentian University, Sudbury, Canada


© Fabrice Colin. 2010

This article is published under license to BioMed Central Ltd. 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.