On the existence of infinitely many periodic solutions for an equation of a rectangular thin plate

DOI10.21136/cmj.1987.102161zbMath0627.73063OpenAlexW2737795790MaRDI QIDQ3763685

Eduard Feireisl

Publication date: 1987

Full work available at URL: https://eudml.org/doc/13646

zbMATH Keywords

Rayleigh-Ritz approximationtopological methodsinfinite number of periodic solutionssequence of variational problems

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Plates (74K20) Variational methods applied to PDEs (35A15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (3)

Periodic solutions of the wave equation with nonconstant coefficients and with homogeneous Dirichlet and Neumann boundary conditions ⋮ Periodic solutions to the wave equation with homogeneous boundary conditions ⋮ Existence of periodic solution for a class of beam equation via variational methods

Cites Work

• Large amplitude time periodic solutions of a semilinear wave equation
• Free vibrations for the equation of a rectangular thin plate
• Nontrivial periodic solutions of a nonlinear beam equation
• Borsuk-Ulam Theorems for Arbitrary S 1 Actions and Applications

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