The periodic problem for curvature-like equations with asymmetric perturbations

DOI10.1016/j.jde.2011.06.014zbMath1241.34051OpenAlexW2018351162MaRDI QIDQ639506

Franco Obersnel, Pierpaolo Omari

Publication date: 22 September 2011

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

Full work available at URL: https://doi.org/10.1016/j.jde.2011.06.014

zbMATH Keywords

quasilinear ordinary differential equationLandesman-Lazer conditionperiodic problemAhmad-Lazer-Paul conditionprescribed curvature equation1-Laplace equationHammerstein condition

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Quasilinear elliptic equations with mean curvature operator (35J93)

Related Items (9)

Multiple bounded variation solutions for a prescribed mean curvature equation with Neumann boundary conditions ⋮ Exact multiplicity results for a one-dimensional prescribed mean curvature problem related to MEMS models ⋮ Existence, regularity and stability properties of periodic solutions of a capillarity equation in the presence of lower and upper solutions ⋮ On discrete Wirtinger-Northcott problems ⋮ On the existence of periodic oscillations for pendulum-type equations ⋮ Time-map analysis to establish the exact number of positive solutions of one-dimensional prescribed mean curvature equations ⋮ Asymmetric Poincaré inequalities and solvability of capillarity problems ⋮ Multiple periodic solutions for perturbed relativistic pendulum systems ⋮ Optimal regularity results for the one-dimensional prescribed curvature equation via the strong maximum principle

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