Multiple nontrivial solutions for nonlinear periodic problems with the \(p\)-Laplacian

DOI10.1016/j.jde.2007.05.012zbMath1148.34003OpenAlexW1989087693MaRDI QIDQ2464480

Nikolaos S. Papageorgiou, Vasile Staicu, Sergiu Aizicovici

Publication date: 21 December 2007

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

Full work available at URL: https://doi.org/10.1016/j.jde.2007.05.012

zbMATH Keywords

periodic solutionsdegree theorysolutions of constant signscalar \(p\)-laplacian

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Ordinary differential inclusions (34A60)

Related Items (18)

Multiple and nodal solutions for a class of nonlinear, nonhomogeneous periodic eigenvalue problems ⋮ Multiple solutions for resonant nonlinear periodic equations ⋮ Impulsive differential inclusions via variational method ⋮ Multiple positive solutions for nonlinear periodic problems ⋮ Multiple solutions for a class of fractional boundary value problems ⋮ Nonlinear resonant periodic problems with concave terms ⋮ Variational approach of \(p\)-Laplacian impulsive differential equations with periodic conditions ⋮ A nonlinear eigenvalue problem for the periodic scalar \(p\)-Laplacian ⋮ Periodic solutions for \(p\)-Laplacian neutral Liénard equation with a sign-variable coefficient ⋮ Continuity in weak topology and extremal problems of eigenvalues of the $p$-Laplacian ⋮ Solutions and multiple solutions for superlinear perturbations of the periodic scalar p-Laplacian ⋮ ON THE MULTIPLICITY OF SOLUTIONS FOR NON-LINEAR PERIODIC PROBLEMS WITH THE NON-LINEARITY CROSSING SEVERAL EIGENVALUES ⋮ Positive solutions for nonlinear periodic problems with concave terms ⋮ Periodic solutions for a Rayleigh type p-Laplacian equation with sign-variable coefficient of nonlinear term ⋮ Variational approach for a p-Laplacian boundary value problem on time scales ⋮ Periodic solutions for Liénard type equation with time-variable coefficient ⋮ 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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