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.

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.

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.

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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☆ 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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