American Institute of Mathematical Sciences

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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

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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