Comptes Rendus
no. 12
Partial differential equations/Functional analysis
A variational principle for problems with a hint of convexity
[Un principe variationnel pour des problèmes avec une certaine convexité]

Présenté par : the Editorial Board

Abbas Moameni1
1 School of Mathematics and Statistics, Carleton University, Ottawa, ON, Canada
Comptes Rendus. Mathématique, Volume 355 (2017) no. 12, pp. 1236-1241.

A variational principle is introduced to provide a new formulation and resolution for several boundary value problems with a variational structure. This principle allows one to deal with problems well beyond the weakly compact structure. As a result, we study several super-critical semilinear Elliptic problems.

Un principe variationnel est introduit pour fournir une nouvelle formulation et résolution de nombreux problèmes aux limites avec structure variationnelle. Ce principe permet de considérer des problèmes bien au-delà de la structure faiblement compacte. Ainsi, nous étudions de nombreux probèmes elliptiques semilinéaires supercritiques.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2017.11.003

Abbas Moameni 1

1 School of Mathematics and Statistics, Carleton University, Ottawa, ON, Canada 
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Abbas Moameni. A variational principle for problems with a hint of convexity. Comptes Rendus. Mathématique, Volume 355 (2017) no. 12, pp. 1236-1241. doi : 10.1016/j.crma.2017.11.003. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2017.11.003/

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Cité par 18 documents. Sources : Crossref

☆ The author is pleased to acknowledge the support of the National Sciences and Engineering Research Council of Canada (grant number 315920).

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