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Nonconvex duality

Ivar Ekeland — 1979

Mémoires de la Société Mathématique de France

Discontinuités de champs hamiltoniens et existence de solutions optimales en calcul des variations

Ivar Ekeland — 1977

Publications Mathématiques de l'IHÉS

Oscillations de systèmes hamiltoniens non linéaires. III

Ivar Ekeland — 1981

Bulletin de la Société Mathématique de France

An optimal matching problem

Ivar Ekeland — 2005

ESAIM: Control, Optimisation and Calculus of Variations

Given two measured spaces $(X, μ)$ and $(Y, ν)$ , and a third space $Z$ , given two functions $u (x, z)$ and $v (x, z)$ , we study the problem of finding two maps $s : X \to Z$ and $t : Y \to Z$ such that the images $s (μ)$ and $t (ν)$ coincide, and the integral $\int_{X} u (x, s (x)) d μ - \int_{Y} v (y, t (y)) d ν$ is maximal. We give condition on $u$ and $v$ for which there is a unique solution.

Une théorie de Morse pour les systèmes hamiltoniens convexes

Ivar Ekeland — 1984

Annales de l'I.H.P. Analyse non linéaire

An optimal matching problem

Ivar Ekeland — 2010

ESAIM: Control, Optimisation and Calculus of Variations

Given two measured spaces $(X, μ)$ and $(Y, ν)$ , and a third space , given two functions and , we study the problem of finding two maps $s : X \to Z$ and $t : Y \to Z$ such that the images $s (μ)$ and $t (ν)$ coincide, and the integral $\int_{X} u (x, s (x)) d μ - \int_{Y} v (y, t (y)) d ν$ is maximal. We give condition on and for which there is a unique solution.

Symplectic Topology and Hamiltonian Dynamics II.

Helmut Hofer; Ivar Ekeland — 1990

Mathematische Zeitschrift

An inverse problem in the economic theory of demand

Ivar Ekeland; Ngalla Djitté — 2006

Annales de l'I.H.P. Analyse non linéaire

Perturbation results for a class of singular Hamiltonian systems

Antonio Ambrosetti; Ivar Ekeland — 1989

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

The existence of solutions with prescribed period $T$ for a class of Hamiltonian systems with a Keplerian singularity is discussed.

Perturbation results for a class of singular Hamiltonian systems

Antonio Ambrosetti; Ivar Ekeland — 1989

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

The existence of solutions with prescribed period $T$ for a class of Hamiltonian systems with a Keplerian singularity is discussed.

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Currently displaying 1 – 13 of 13

Nonconvex duality

Discontinuités de champs hamiltoniens et existence de solutions optimales en calcul des variations

Oscillations de systèmes hamiltoniens non linéaires. III

An optimal matching problem

Une théorie de Morse pour les systèmes hamiltoniens convexes

An optimal matching problem

Symplectic Topology and Hamiltonian Dynamics II.

An inverse problem in the economic theory of demand

Perturbation results for a class of singular Hamiltonian systems

Perturbation results for a class of singular Hamiltonian systems

A convex Darboux theorem

A variational approach to homoclinic orbits in Hamiltonian systems.

Index estimates and critical points of functionals not satisfying Palais-Smale