Three nontrivial solutions for periodic problems with the \(p\)-Laplacian and a \(p\)-superlinear nonlinearity

DOI10.3934/cpaa.2009.8.1421zbMath1172.34011OpenAlexW1984833470WikidataQ112251822 ScholiaQ112251822MaRDI QIDQ1016668

Leszek Gasiński, Nikolaos S. Papageorgiou

Publication date: 6 May 2009

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2009.8.1421

zbMATH Keywords

Morse theoryscalar \(p\)-Laplacianmoutain pass theoremPoincare-Hopf formula

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (8)

Multiple and nodal solutions for a class of nonlinear, nonhomogeneous periodic eigenvalue problems ⋮ Nodal solutions for noncoercive nonlinear Neumann problems with indefinite potential ⋮ Multiple positive solutions for nonlinear periodic problems ⋮ A nonlinear eigenvalue problem for the periodic scalar \(p\)-Laplacian ⋮ Solutions and multiple solutions for superlinear perturbations of the periodic scalar p-Laplacian ⋮ Positive solutions for nonlinear periodic problems with concave terms ⋮ NODAL AND MULTIPLE SOLUTIONS FOR NONLINEAR PERIODIC PROBLEMS WITH COMPETING NONLINEARITIES ⋮ Nonlinear, nonhomogeneous periodic problems with no growth control on the reaction

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