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.
Accepté le :
Publié le :
Abbas Moameni 1
@article{CRMATH_2017__355_12_1236_0, author = {Abbas Moameni}, title = {A variational principle for problems with a hint of convexity}, journal = {Comptes Rendus. Math\'ematique}, pages = {1236--1241}, publisher = {Elsevier}, volume = {355}, number = {12}, year = {2017}, doi = {10.1016/j.crma.2017.11.003}, language = {en}, }
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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