High multiplicity of positive solutions for superlinear indefinite problems with homogeneous Neumann boundary conditions

DOI10.1016/J.JMAA.2018.07.034zbMath1421.34020arXiv1708.09659OpenAlexW2963557196MaRDI QIDQ1659327

Andrea Tellini

Publication date: 15 August 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.09659

zbMATH Keywords

Poincaré mapsNeumann boundary conditionshigh multiplicitybifurcation diagramssuperlinear indefinite problems

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Parameter dependent boundary value problems for ordinary differential equations (34B08) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (6)

Unnamed Item ⋮ Uniqueness of a positive solution for the Laplace equation with indefinite superlinear boundary condition ⋮ Nonnegative solutions of an indefinite sublinear Robin problem. I: positivity, exact multiplicity, and existence of a subcontinuum ⋮ Rich dynamics in planar systems with heterogeneous nonnegative weights ⋮ On the number of positive solutions to an indefinite parameter-dependent Neumann problem ⋮ High multiplicity and chaos for an indefinite problem arising from genetic models

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