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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

https://doi.org/10.1155/2010/175409

  • Received: 30 April 2009
  • Accepted: 13 January 2010
  • Published:

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.

Keywords

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

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Authors’ Affiliations

(1)
Mathematics and Computer Science, Laurentian University, Sudbury, ON, Canada, P3E 2C6

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