Partial differential equations/Functional analysis
A variational principle for problems with a hint of convexity

Presented by: the Editorial Board

Moameni, Abbas1
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.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2017.11.003
Moameni, Abbas 1

1 School of Mathematics and Statistics, Carleton University, Ottawa, ON, Canada 
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Moameni, Abbas. 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://www.numdam.org/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).