Multiple solutions for critical elliptic systems in potential form

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May 2008, 7(3): 715-741. doi: 10.3934/cpaa.2008.7.715

Multiple solutions for critical elliptic systems in potential form

Emmanuel Hebey ^1, and Jérôme Vétois ^1,

1.	Université de Cergy-Pontoise, Département de Mathématiques, Site de Saint-Martin, 2 avenue Adolphe Chauvin, 95302 Cergy-Pontoise Cedex, France, France

Received January 2007 Revised July 2007 Published February 2008

Abstract
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We discuss and prove existence of multiple solutions for critical elliptic systems in potential form on compact Riemannian manifolds.

Keywords: Changing sign solutions, Lusternik-Schnirelmann category., critical systems.

Mathematics Subject Classification: Primary: 58J05; Secondary: 58E3.

Citation: Emmanuel Hebey, Jérôme Vétois. Multiple solutions for critical elliptic systems in potential form. Communications on Pure & Applied Analysis, 2008, 7 (3) : 715-741. doi: 10.3934/cpaa.2008.7.715

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