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

Carlo Mercuri; Michel Willem

doi:10.3934/dcds.2010.28.469

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2010, Volume 28, Issue 2: 469-493. Doi: 10.3934/dcds.2010.28.469 open access

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

Received: November 30, 2009

Revised: March 31, 2010

Published: June 2010

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Abstract

We prove a representation theorem for Palais-Smale sequences involving the p-Laplacian and critical nonlinearities. Applications are given to a critical problem.

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Mathematics Subject Classification: Primary: 35J60; Secondary: 35B33.

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