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.
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@article{CRMATH_2017__355_12_1236_0, author = {Moameni, Abbas}, 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}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2017.11.003/} }
TY - JOUR AU - Moameni, Abbas TI - A variational principle for problems with a hint of convexity JO - Comptes Rendus. Mathématique PY - 2017 SP - 1236 EP - 1241 VL - 355 IS - 12 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2017.11.003/ DO - 10.1016/j.crma.2017.11.003 LA - en ID - CRMATH_2017__355_12_1236_0 ER -
%0 Journal Article %A Moameni, Abbas %T A variational principle for problems with a hint of convexity %J Comptes Rendus. Mathématique %D 2017 %P 1236-1241 %V 355 %N 12 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2017.11.003/ %R 10.1016/j.crma.2017.11.003 %G en %F CRMATH_2017__355_12_1236_0
Moameni, Abbas. A variational principle for problems with a hint of convexity. Comptes Rendus. Mathématique, Tome 355 (2017) no. 12, pp. 1236-1241. doi : 10.1016/j.crma.2017.11.003. http://archive.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).