Subharmonic solutions of the prescribed curvature equation

DOI10.1142/S021919971550042XzbMath1341.34046OpenAlexW2046591018MaRDI QIDQ2800063

Chiara Corsato, Pierpaolo Omari, Fabio Zanolin

Publication date: 14 April 2016

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

Full work available at URL: https://doi.org/10.1142/s021919971550042x

zbMATH Keywords

periodic solutionbounded variation functionsubharmonic solutionprescribed curvature equationquasilinear ODEsminimum period

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items (11)

Multiple bounded variation solutions for a prescribed mean curvature equation with Neumann boundary conditions ⋮ Regular versus singular solutions in quasilinear indefinite problems with sublinear potentials ⋮ Existence and non-existence of limit cycles for Liénard prescribed curvature equations ⋮ Positive solutions of indefinite logistic growth models with flux-saturated diffusion ⋮ Pairs of nodal solutions for a Minkowski-curvature boundary value problem in a ball ⋮ Characterizing the formation of singularities in a superlinear indefinite problem related to the mean curvature operator ⋮ Global components of positive bounded variation solutions of a one-dimensional indefinite quasilinear Neumann problem ⋮ Positive solutions of a one-dimensional indefinite capillarity-type problem: a variational approach ⋮ Revisiting the sub- and super-solution method for the classical radial solutions of the mean curvature equation ⋮ Optimal regularity results for the one-dimensional prescribed curvature equation via the strong maximum principle ⋮ Bifurcation of positive solutions for a one-dimensional indefinite quasilinear Neumann problem

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