Résolution de l'équation $Au + Bu = f$ où $A$ est linéaire et $B$ dérive d'un potentiel convexe

DOI10.5802/afst.537zbMath0436.47052OpenAlexW2320111324MaRDI QIDQ3876544

Jean-Michel Coron

Publication date: 1979

Published in: Annales de la faculté des sciences de Toulouse Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1979_5_1_3_215_0

zbMATH Keywords

Laplace equationnonlinear wave equationmax.-min.-principlerange of sums of nonlinear operators

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Equations involving nonlinear operators (general) (47J05) Hamilton's equations (70H05) Second-order nonlinear hyperbolic equations (35L70)

Related Items (3)

Periodic solutions of two-dimensional wave equations with x-dependent coefficients and Sturm–Liouville boundary conditions ⋮ Time-periodic solutions to the one-dimensional nonlinear wave equation ⋮ Periodic solutions of nonlinear vibrating strings and duality principles

Cites Work

• Saddle points and multiple solutions of differential equations
• Periodic solutions of Hamiltonian equations and a theorem of P. Rabinowitz
• Periodic solutions to Hamiltonian inclusions
• On saddle point problems in the calculus of variations, the Rity algorithm, and monotone convergence
• On the solvability of semilinear gradient operator equations
• Periodic solutions of a nonlinear wave equation
• Periodic solutions of hamiltonian systems
• Periodic solutions of hamiltonian systems
• Forced vibrations for a nonlinear wave equation
• Hamiltonian trajectories having prescribed minimal period
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