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June  2010, 28(2): 469-493. doi: 10.3934/dcds.2010.28.469

A global compactness result for the p-Laplacian involving critical nonlinearities

Carlo Mercuri 1, and  Michel Willem 2,

1. 

Sissa, Via Beirut 2-4, Trieste, 34014, Italy
2. 

Département de Mathématique, Université catholique de Louvain, 2 chemin du Cyclotron, B. 1348, Louvain-la-Neuve, Belgium

Received  December 2009 Revised  April 2010 Published  April 2010

We prove a representation theorem for Palais-Smale sequences involving the p-Laplacian and critical nonlinearities. Applications are given to a critical problem.
Keywords: p-Laplacian, Pohozaev identity., Palais-Smale sequences, critical nonlinearities.
Mathematics Subject Classification: Primary: 35J60; Secondary: 35B3.
Citation: Carlo Mercuri, Michel Willem. A global compactness result for the p-Laplacian involving critical nonlinearities. Discrete & Continuous Dynamical Systems - A, 2010, 28 (2) : 469-493. doi: 10.3934/dcds.2010.28.469
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