Multiplicity theorems for periodic systems with a \(p\)-Laplacian-like operator

DOI10.1016/j.na.2006.09.028zbMath1129.34007OpenAlexW2023962559WikidataQ112251831 ScholiaQ112251831MaRDI QIDQ2643456

Leszek Gasiński

Publication date: 23 August 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.09.028

zbMATH Keywords

local linkingresonanceperiodic problemsp-Laplacian-like operator

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Ordinary differential inclusions (34A60)

Related Items (8)

Positive solutions for nonlinear nonhomogeneous Robin problems ⋮ Existence and multiplicity of periodic solutions for the ordinary \(p\)-Laplacian systems ⋮ Periodic solutions for systems with \(p\)-relativistic operator and unbounded discontinuous nonlinearities ⋮ Solutions and multiple solutions for periodicp-Laplacian systems with a non-smooth potential ⋮ Existence and multiplicity of solutions for second order periodic systems with the \(p\)-Laplacian and a nonsmooth potential ⋮ A variational approach to nonlinear logistic equations ⋮ Solutions and multiple solutions for periodic systems with nonhomogeneous differential operators ⋮ Boundary value problems for discontinuous perturbations of singular \(\phi\)-Laplacian operator

Cites Work

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• Some boundary value problems for Hartman-type perturbations of the ordinary vector \(p\)-Laplacian
• Existence and uniqueness results for some nonlinear boundary value problems
• Two nontrivial critical points for nonsmooth functionals via local linking and applications
• Remarks on finding critical points
• Existence and multiplicity of solutions with prescribed period for a second order quasilinear O.D.E.
• Two nontrivial solutions for quasilinear periodic equations
• ON THE EXISTENCE OF MULTIPLE PERIODIC SOLUTIONS FOR EQUATIONS DRIVEN BY THE $p$-LAPLACIAN AND WITH A NON-SMOOTH POTENTIAL

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