Towards weak KAM theory at relative equilibrium

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37Jxx) General first-order partial differential equations and systems of first-order partial differential equations (35Fxx) Hamilton-Jacobi theories (49Lxx)

Cites Work

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Weak KAM theory for a weakly coupled system of Hamilton-Jacobi equations
On the topology of the set of singularities of a solution to the Hamilton-Jacobi equation
Weak KAM aspects of convex Hamilton-Jacobi equations with Neumann type boundary conditions
A new kind of Lax-Oleinik type operator with parameters for time-periodic positive definite Lagrangian systems
Action minimizing invariant measures for positive definite Lagrangian systems
Lagrangian dynamics on an infinite-dimensional torus; a weak KAM theorem
Minimizers of Dirichlet functionals on the \(n\)-torus and the weak KAM theory
Lagrangian graphs, minimizing measures and Mañé's critical values
Some new PDE methods for weak KAM theory
A quasi-periodic Poincaré's theorem
Towards a quantum analog of weak KAM theory
Effective Hamiltonians and averaging for Hamiltonian dynamics. II
Min-max formulas and other properties of certain classes of nonconvex effective Hamiltonians
Weak KAM theory for action minimizing random walks
Viscosity solutions and hyperbolic motions: a new PDE method for the \(N\)-body problem
A new method for large time behavior of degenerate viscous Hamilton-Jacobi equations with convex Hamiltonians
Degenerate lower-dimensional tori in Hamiltonian systems
Some inverse problems in periodic homogenization of Hamilton-Jacobi equations
Resonance conjecture via weak KAM theory
Aubry–Mather Measures in the Nonconvex Setting
Persistence of lower dimensional tori of general types in Hamiltonian systems
Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
Viscosity Solutions of Hamilton-Jacobi Equations
Aubry-Mather theory and periodic solutions of the forced Burgers equation
Orbites hétéroclines et ensemble de Peierls
Sur la convergence du semi-groupe de Lax-Oleinik
Théorème KAM faible et théorie de Mather sur les systèmes lagrangiens
Generic properties and problems of minimizing measures of Lagrangian systems
Solutions KAM faibles conjuguées et barrières de Peierls
L^∞ variational problems and weak KAM theory
Dynamics of the dominant Hamiltonian
Some Results on Weak KAM Theory for Time-periodic Tonelli Lagrangian Systems
On Conley index theory for non-smooth dynamical systems
Effective Hamiltonians and averaging for Hamiltonian dynamics. I