Density of the Range of Potential Operators

DOI10.2307/2043523zbMath0478.49012OpenAlexW4249260656MaRDI QIDQ3935755

Michel Willem

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/2043523

zbMATH Keywords

nonlinear wave equationnonresonance casedual least action principlerange of potential operators

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Second-order nonlinear hyperbolic equations (35L70) Existence theories for free problems in two or more independent variables (49J10) Existence theories for problems in abstract spaces (49J27)

Related Items (8)

Density of the range of a wave operator with nonmonotone superlinear nonlinearity ⋮ Multiple critical points of invariant functionals and applications ⋮ Existence of solutions for a wave equation with non-monotone nonlinearity and a small parameter ⋮ Existence of \(L^p\)-solutions for a semilinear wave equation with non-monotone nonlinearity ⋮ Iterative and variational methods for the solvability of some semilinear equations in Hilbert spaces ⋮ Bifurcation at infinity for a semilinear wave equation with non-monotone nonlinearity ⋮ Forced vibrations of wave equations with non-monotone nonlinearities ⋮ Periodic solutions of nonlinear vibrating strings and duality principles

Cites Work

• Nonconvex minimization problems
• Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz
• Hamiltonian trajectories having prescribed minimal period
• Nonlinear Integral Equations of the Hammerstein Type
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