Eigenvalues, bifurcation and one-sign solutions for the periodic \(p\)-Laplacian

DOI10.3934/cpaa.2013.12.2839zbMath1287.34030arXiv1207.6670OpenAlexW2962999765MaRDI QIDQ1951459

Guowei Dai, Haiyan Wang, Ru Yun Ma

Publication date: 6 June 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.6670

zbMATH Keywords

eigenvaluesone-sign solutionsunilateral global bifurcationperiodic \(p\)-Laplacian

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (11)

Three positive solutions for second-order periodic boundary value problems with sign-changing weight ⋮ Positive solutions for a second-order differential equation with integral boundary conditions and deviating arguments ⋮ Reversed S-shaped connected component for second-order periodic boundary value problem with sign-changing weight ⋮ Global structure of positive solutions for semipositone nonlinear Euler-Bernoulli beam equation with Neumann boundary conditions ⋮ Unnamed Item ⋮ Unilateral global bifurcation for fourth-order problems and its applications ⋮ Two Whyburn type topological theorems and its applications to Monge-Ampère equations ⋮ Unnamed Item ⋮ Existence of a positive solution for one-dimensional singular \(p\)-Laplacian problems and its parameter dependence ⋮ Existence of periodic solutions for \(p\)-Laplacian equation without growth restrictions ⋮ Unilateral global interval bifurcation theorem for periodic \(p\)-Laplacian and its applications

This page was built for publication: Eigenvalues, bifurcation and one-sign solutions for the periodic \(p\)-Laplacian