Multiple solutions for critical elliptic systems in potential form

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

Received: December 31, 2006

Revised: June 30, 2007

Published: April 2008

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Abstract

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

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Mathematics Subject Classification: Primary: 58J05; Secondary: 58E30.

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