On the existence of multiple periodic solutions for the vector \(p\)-Laplacian via critical point theory.

DOI10.1007/S10492-005-0037-8zbMath1099.34021OpenAlexW2025693131MaRDI QIDQ851699

Haishen Lü, Donal O'Regan, Ravi P. Agarwal

Publication date: 21 November 2006

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/33238

zbMATH Keywords

periodic solutioncritical point theory\(p\)-Laplacian equation

Mathematics Subject Classification ID

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

Related Items (7)

Fast homoclinic solutions for a class of ordinary \(p\)-Laplacian systems ⋮ Some existence results on periodic solutions of ordinary \(p\)-Laplacian systems ⋮ Homoclinic solutions for ordinary \(p\)-Laplacian systems ⋮ Periodic solutions for discontinuous perturbations of the relativistic operator ⋮ Infinitely many periodic solutions for ordinary \(p(t)\)-Laplacian differential systems ⋮ Homoclinic solutions for ordinary \(p\)-Laplacian systems with a coercive potential ⋮ Multiple periodic solutions for perturbed relativistic pendulum systems

Cites Work

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• Critical point theory and Hamiltonian systems
• Boundary value problems of a class of quasilinear ordinary differential equations
• Some boundary value problems for Hartman-type perturbations of the ordinary vector \(p\)-Laplacian
• A nonlinear boundary value problem with potential oscillating around the first eigenvalue
• Existence and uniqueness results for some nonlinear boundary value problems
• Existence and multiplicity of solutions with prescribed period for a second order quasilinear O.D.E.

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