On local compactness in quasilinear elliptic problems

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dc.creatorAdriouch, Khalid
dc.creatorHamidi, Abdallah El
dc.date2008-12-04
dc.date.accessioned2026-07-07T12:09:23Z
dc.date.available2026-07-07T12:09:23Z
dc.descriptionOne of the major difficulties in nonlinear elliptic problems involving critical nonlinearities is the compactness of Palais-Smale sequences. In their celebrated work \cite{BN}, Brézis and Nirenberg introduced the notion of critical level for these sequences in the case of a critical perturbation of the Laplacian homogeneous eigenvalue problem. In this paper, we give a natural and general formula of the critical level for a large class of nonlinear elliptic critical problems. The sharpness of our formula is established by the construction of suitable Palais-Smale sequences which are not relatively compact.
dc.identifierhttps://arxiv.org/abs/0812.0927
dc.identifierhttp://arxiv.org/abs/0812.0927
dc.identifierDifferential and integral equations 20, 1 (2006) 77-92
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209607
dc.subjectAnalysis of PDEs
dc.titleOn local compactness in quasilinear elliptic problems
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