Characterization of minimizable Lagrangian action functionals and a dual Mather theorem

DOI10.3934/dcds.2020143zbMath1436.49013arXiv1810.03433OpenAlexW2895682570MaRDI QIDQ2306861

Rodolfo Ríos-Zertuche

Publication date: 26 March 2020

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.03433

zbMATH Keywords

maximum principleHamilton-Jacobi equationsuperposition principleLagrangian actionclosed measurefinite horizon Legendre problem

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Representation and superposition of functions (26B40) Optimality conditions for problems involving relations other than differential equations (49K21) Hamilton-Jacobi equations (35F21)

Related Items (1)

Characterization of minimizable Lagrangian action functionals and a dual Mather theorem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The link between the shape of the irrational Aubry-Mather sets and their Lyapunov exponents
• The Monge problem for supercritical Mañé potentials on compact manifolds
• Optimal mass transportation and Mather theory
• Action minimizing invariant measures for positive definite Lagrangian systems
• Minimal measures and minimizing closed normal one-currents
• PDE aspects of Aubry-Mather theory for quasiconvex Hamiltonians
• Existence of \(C^1\) critical subsolutions of the Hamilton-Jacobi equation
• Characterization of minimizable Lagrangian action functionals and a dual Mather theorem
• Generic hyperbolicity of aubry sets on surfaces
• On Birkhoff theorems for Lagrangian invariant tori with closed orbits
• Quasi-convexity and the lower semicontinuity of multiple integrals
• The distance function to the boundary, Finsler geometry, and the singular set of viscosity solutions of some Hamilton-Jacobi equations
• On the Smoothness of Convex Envelopes
• Existence of C1,1C1,1 critical sub-solutions of the Hamilton–Jacobi equation on compact manifolds
• Young measure, superposition and transport
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
• On the graph theorem for Lagrangian minimizing tori

This page was built for publication: Characterization of minimizable Lagrangian action functionals and a dual Mather theorem