Multiplicity of solutions of variational systems involving \(\phi\)-Laplacians with singular \(\phi\) and periodic nonlinearities

DOI10.3934/dcds.2012.32.4015zbMath1260.34076OpenAlexW1980348401MaRDI QIDQ447953

Jean Mawhin

Publication date: 30 August 2012

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2012.32.4015

zbMATH Keywords

periodic solutionsHamiltonian systemscritical point theoryrelative categoryNeumann problems\(\phi\)-Laplacianextrinsic mean curvaturerelativistic pendulum system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Hamilton's equations (70H05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

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