The Mather problem for lower semicontinuous Lagrangians

DOI10.1007/S00030-013-0243-0zbMath1307.35087OpenAlexW2051107015MaRDI QIDQ464413

Gabriele Terrone, Diogo Aguiar Gomes

Publication date: 17 October 2014

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-013-0243-0

zbMATH Keywords

partial regularityaction minimizing measuresdiscontinuous Lagrangians

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) PDEs with low regular coefficients and/or low regular data (35R05) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21)

Cites Work

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• An introduction to the Aubry-Mather theory
• Fine properties of minimizers of mechanical Lagrangians with Sobolev potentials
• Action minimizing invariant measures for positive definite Lagrangian systems
• Viscosity solutions of Hamilton-Jacobi equations
• Autonomous integral functionals with discontinuous nonconvex integrands: Lipschitz regularity of minimizers, BuBois-Reymond necessary conditions, and Hamilton-Jacobi equations
• PDE aspects of Aubry-Mather theory for quasiconvex Hamiltonians
• Existence of \(C^1\) critical subsolutions of the Hamilton-Jacobi equation
• An Hopf--Lax formula for a class of measurable Hamilton--Jacobi equations
• Eikonal equations with discontinuities
• A Bellman approach for two-domains optimal control problems in ℝ^N
• Monge solutions for discontinuous Hamiltonians
• Degenerate Eikonal equations with discontinuous refraction index
• Bolza Problems with Discontinuous Lagrangians and Lipschitz-Continuity of the Value Function
• Optimal Control with State-Space Constraint I
• On the minimizing measures of Lagrangian dynamical systems
• Boundary value problems for Hamilton-Jacobi equations with discontinuous Lagrangian
• On viscosity solutions of fully nonlinear equations with measurable ingredients
• Time-Dependent Measurable Hamilton–Jacobi Equations
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
• Effective Hamiltonians and averaging for Hamiltonian dynamics. I

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