Minimizers of Dirichlet functionals on the \(n\)-torus and the weak KAM theory

DOI10.1016/j.anihpc.2007.09.007zbMath1173.35047arXivmath/0702743OpenAlexW2022057112MaRDI QIDQ1012359

Gershon Wolansky

Publication date: 16 April 2009

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702743

zbMATH Keywords

KAM theoryeffective Hamiltonianrotation vectoroptimal mass transportDirichlet functionalMonge-Kantorovichperiodic Lagrangian

Mathematics Subject Classification ID

Existence of solutions for minimax problems (49J35) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

Related Items (2)

Towards weak KAM theory at relative equilibrium ⋮ Limit theorems for optimal mass transportation and applications to networks

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