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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Persistent URL dx.doi.org/10.1016/j.crma.2017.11.003
Journal Comptes Rendus Mathematique
Momeni, A. (2017). A variational principle for problems with a hint of convexity Un principe variationnel pour des problèmes avec une certaine convexité. Comptes Rendus Mathematique, 355(12), 1236–1241. doi:10.1016/j.crma.2017.11.003