Radial solutions of the Dirichlet problem for a class of quasilinear elliptic equations arising in optometry
DOI10.1016/j.na.2018.11.001zbMath1414.35095OpenAlexW2902305947WikidataQ128829863 ScholiaQ128829863MaRDI QIDQ2414203
Pierpaolo Omari, Chiara Corsato, Colette De Coster, Noemi Flora
Publication date: 10 May 2019
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2018.11.001
Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) 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)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A nonlinear mathematical model of the corneal shape
- A one-dimensional prescribed curvature equation modeling the corneal shape
- Remark on the anisotropic prescribed mean curvature equation on arbitrary domains
- Compressible fluids in a capillary tube
- Bessel function model of corneal topography
- On the Dirichlet problem for the prescribed mean curvature equation over general domains
- A capillarity problem for compressible liquids
- Elliptic partial differential equations of second order
- A prescribed anisotropic mean curvature equation modeling the corneal shape: a paradigm of nonlinear analysis
- Solution estimates for a system of nonlinear integral equations arising in optometry
- Existence, regularity and boundary behaviour of bounded variation solutions of a one-dimensional capillarity equation
- Remarks on the uniqueness for quasilinear elliptic equations with quadratic growth conditions
- On a nonlinear boundary value problem modeling corneal shape
- Classical and non-classical solutions of a prescribed curvature equation
- The Dirichlet problem for a prescribed anisotropic mean curvature equation: existence, uniqueness and regularity of solutions
- On the capillary problem for compressible fluids
- Nonlinear parameter identification in a corneal geometry model
- The Dirichlet problem for graphs of prescribed anisotropic mean curvature in ℝn+1
- Regularization of an ill-posed problem in corneal topography
- The Dirichlet problem for the minimal surface equation in higher dimensions.
- The problem of dirichlet for quasilinear elliptic differential equations with many independent variables
- On the equations of capillarity