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  • Research Article
  • 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:


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 Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Arbitrary Number

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Authors’ Affiliations

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


© 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.