On the Linking Principle

dc.creatorJabri, Youssef
dc.creatorMoussaoui, Mimoun
dc.date1999-03-31
dc.date.accessioned2026-07-07T05:28:33Z
dc.date.available2026-07-07T05:28:33Z
dc.descriptionWe give a linking theorem that strengthens and unifies some many minimax theorems including Ambrosetti-Rabinowitz ``mountain pass theorem'', Rabinowitz ``multidimensional mountain pass theorem'', Rabinowitz ``saddle point theorem'' and Silva's variants of these results. We focus our attention especially on ``the limiting case'', known to be true for the mountain pass principle, where some information on the location of the critical points is given. Two forms of this theorem are given: the first one is established via a deformation lemma and we use Ekeland's variational principle to get the second one.
dc.description17 pages, part of the thesis of the first author (July 1995)
dc.identifierhttps://arxiv.org/abs/math/9903189
dc.identifierhttp://arxiv.org/abs/math/9903189
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78302
dc.subjectFunctional Analysis
dc.subjectAnalysis of PDEs
dc.subject35A15
dc.titleOn the Linking Principle
dc.typetext

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