Champs Hamiltoniens, relaxation et existence de solutions en calcul des variations. (Hamiltonian fields, relaxation and existence of solutions in the calculus of variations)

DOI10.1016/0022-0396(87)90164-1zbMath0643.49022OpenAlexW2094887889MaRDI QIDQ1101949

Jean-Pierre Raymond

Publication date: 1987

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(87)90164-1

zbMATH Keywords

maximum principlerelaxed problem

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Duality theory (optimization) (49N15) Optimality conditions for problems involving ordinary differential equations (49K15) Hamilton-Jacobi theories (49L99)

Related Items (7)

Existence and uniqueness results for minimization problems with nonconvex functionals ⋮ Existence of minimizers for non-quasiconvex integrals ⋮ Existence of vector minimizers for nonconvex 1-dim integrals with almost convex Lagrangian ⋮ Generic aspects of convexification with applications to thermodynamic equilibrium ⋮ Existence theorems in optimal control problems without convexity assumptions ⋮ Another theorem of classical solvability `in small' for one-dimensional variational problems ⋮ On the Smoothness of Convex Envelopes

Cites Work

• On nonexistence of minimizing solutions of variational problems
• Discontinuites de champs hamiltoniens et existence de solutions optimales en calcul des variations
• Broken solutions of homogeneous variational problems
• Regularity Properties of Solutions to the Basic Problem in the Calculus of Variations
• Optimization and nonsmooth analysis
• On Lower Semicontinuity of Integral Functionals. I
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