Existence Result for a Class of Nonlinear Elliptic Systems on Punctured Unbounded Domains. (10th February 2010)

• Record Type: Journal Article
• Authors: Colin, Fabrice
• Other Names: Zhang Zhitao Academic Editor.
• Is Part Of: Boundary value problems. Volume 2010(2010)
• Publication Date: 2010-02-10
• Subjects: Boundary value problems -- Periodicals; Boundary value problems; Electronic journals; Periodicals; 515.35
• DOI: 10.1155/2010/175409
• Languages: English
• ISSNs: 1687-2762

Abstract

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.