Existence of periodic solutions for \(p\)-Laplacian equation under the frame of Fučik spectrum

DOI10.1007/S10114-011-9719-1zbMath1219.34053OpenAlexW201980460MaRDI QIDQ2430315

Wenbin Liu, Yong Li

Publication date: 6 April 2011

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-9719-1

zbMATH Keywords

periodic solution\(p\)-LaplacianFučik spectrumpotential function

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Applications of operator theory to differential and integral equations (47N20)

Related Items (3)

Periodic solutions of p-Laplacian differential equations with jumping nonlinearity across half-eigenvalues ⋮ Existence of periodic solutions for a class of \(p\)-Laplacian equations ⋮ Dancer-Fučik spectrum for fractional Schrödinger operators with a steep potential well on \(\mathbb{R}^N\)

Cites Work

• A homotopic deformation along \(p\) of a Leray-Schauder degree result and existence for \((| u'| ^{p-2}u')'+f(t,u)=0\), \(u(0)=u(T)=0\), \(p>1\)
• Periodic solution for nonlinear systems with \(p\)-Laplacian-like operators
• Eigenvalues and the one-dimensional \(p\)-Laplacian
• Time-maps for the solvability of periodically perturbed nonlinear duffing equations
• Existence and multiplicity of solutions with prescribed period for a second order quasilinear O.D.E.
• Boundary-value problems for weakly nonlinear ordinary differential equations
• Multiplicity results for periodic solutions of a second order quasilinear ODE with asymmetric nonlinearities

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