Computations of critical groups and applications to asymptotically linear wave equation and beam equation

DOI10.1016/j.jmaa.2004.06.029zbMath1073.35147OpenAlexW2037331379MaRDI QIDQ1765787

Yuxia Guo, Pingan Zeng, Jia Quan Liu

Publication date: 23 February 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.06.029

zbMATH Keywords

wave equationMorse theorybeam equationnondegenerate periodic solutionasymptotically linear wave equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Invariance and symmetry properties for PDEs on manifolds (58J70) Linear operators and ill-posed problems, regularization (47A52)

Related Items (4)

A new Morse index theory for strongly indefinite functionals ⋮ Existence of infinitely many solutions of a beam equation with non-monotone nonlinearity ⋮ A new index theory for linear self-adjoint operator equations and its applications ⋮ Index theory and multiple solutions for asymptotically linear wave equation

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