Branches of positive solutions of a superlinear indefinite problem driven by the one-dimensional curvature operator

DOI10.1016/j.aml.2021.107807zbMath1493.34057OpenAlexW3217593919MaRDI QIDQ2077055

Julián López-Gómez, Pierpaolo Omari

Publication date: 22 February 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107807

zbMATH Keywords

Neumann boundary conditionpositive solutioncurvature operatorindefinite weightsub and supersolutionsconnected set of solutions

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (3)

Periodic solutions to superlinear indefinite planar systems: a topological degree approach ⋮ Rich dynamics in planar systems with heterogeneous nonnegative weights ⋮ Optimal regularity results for the one-dimensional prescribed curvature equation via the strong maximum principle

Cites Work

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• Global components of positive bounded variation solutions of a one-dimensional indefinite quasilinear Neumann problem
• Bifurcation of positive solutions for a one-dimensional indefinite quasilinear Neumann problem
• Two-point boundary value problems. Lower and upper solutions
• Linear Second Order Elliptic Operators

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