On the existence of two nontrivial solutions of periodic problems with operators of \(p\)-Laplacian type

DOI10.1134/S0012266107020036zbMath1131.34014MaRDI QIDQ2459753

Donal O'Regan, Nikolaos S. Papageorgiou, Ravi P. Agarwal

Publication date: 8 November 2007

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

resonancenontrivial solutionsperiodic problemdeformation theoremp-Laplacian type operator

Mathematics Subject Classification ID

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

Related Items (3)

Existence of solutions of fractional boundary value problems with \(p\)-Laplacian operator ⋮ Existence of anti-periodic solutions for \(\Psi\)-Caputo-type fractional \(p\)-Laplacian problems via Leray-Schauder degree theory ⋮ Existence and nonexistence of positive solutions for the fractional coupled system involving generalized \(p\)-Laplacian

Cites Work

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• On periodic solutions of two-dimensional nonautonomous differential systems
• Boundary value problems of a class of quasilinear ordinary differential equations
• Periodic solution for nonlinear systems with \(p\)-Laplacian-like operators
• On the convergence of solutions of multivalued parabolic equations and applications
• Existence and uniqueness results for some nonlinear boundary value problems
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Existence and multiplicity of solutions with prescribed period for a second order quasilinear O.D.E.

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