MULTIPLE BOUNDED VARIATION SOLUTIONS OF A PERIODICALLY PERTURBED SINE-CURVATURE EQUATION

DOI10.1142/S0219199711004488zbMath1234.34020OpenAlexW2091344665MaRDI QIDQ3096988

Pierpaolo Omari, Franco Obersnel

Publication date: 15 November 2011

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199711004488

zbMATH Keywords

non-smooth critical point theorypendulum equationprescribed curvature equationbounded variation solution

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (12)

Periodic Solutions of Pendulum-Like Hamiltonian Systems in the Plane ⋮ 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 the existence of periodic oscillations for pendulum-type equations ⋮ Existence and non-existence of limit cycles for Liénard prescribed curvature equations ⋮ The periodic problem for curvature-like equations with asymmetric perturbations ⋮ Monotone traveling waves for reaction-diffusion equations involving the curvature operator ⋮ Subharmonic solutions of the prescribed curvature equation ⋮ Revisiting the sub- and super-solution method for the classical radial solutions of the mean curvature equation ⋮ Existence of at least two periodic solutions of the forced relativistic pendulum ⋮ Optimal regularity results for the one-dimensional prescribed curvature equation via the strong maximum principle

Cites Work

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• THE SPECTRUM OF THE 1-LAPLACE OPERATOR
• MULTIPLE POSITIVE SOLUTIONS OF A ONE-DIMENSIONAL PRESCRIBED MEAN CURVATURE PROBLEM

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