Radially symmetric solutions of an anisotropic mean curvature equation modeling the corneal shape

DOI10.3934/proc.2015.0297zbMath1336.35175OpenAlexW2323040755MaRDI QIDQ260777

Chiara Corsato, Colette De Coster, Pierpaolo Omari

Publication date: 22 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/proc.2015.0297

zbMATH Keywords

existenceuniquenessDirichlet boundary conditionpositive solutionradially symmetric solutionshooting methodanisotropic prescribed mean curvature equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Positive solutions to PDEs (35B09) Methods of ordinary differential equations applied to PDEs (35A24) Quasilinear elliptic equations with mean curvature operator (35J93) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Axially symmetric solutions to PDEs (35B07) Classical solutions to PDEs (35A09)

Related Items (10)

The Dirichlet problem for a prescribed anisotropic mean curvature equation: existence, uniqueness and regularity of solutions ⋮ Invariant singular minimal surfaces ⋮ A prescribed anisotropic mean curvature equation modeling the corneal shape: a paradigm of nonlinear analysis ⋮ The two-dimensional analogue of the Lorentzian catenary and the Dirichlet problem ⋮ Symmetry breaking bifurcation of membranes with boundary ⋮ Compact surfaces with boundary with prescribed mean curvature depending on the Gauss map ⋮ Rotational surfaces of prescribed Gauss curvature in \(\mathbb{R}^3\) ⋮ Invariant surfaces in Euclidean space with a log-linear density ⋮ Solution estimates for a system of nonlinear integral equations arising in optometry ⋮ The translating soliton equation

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