Compact surfaces with boundary with prescribed mean curvature depending on the Gauss map
From MaRDI portal
Publication:6114471
DOI10.1007/s10455-023-09910-3zbMath1526.53010arXiv2302.01720OpenAlexW4382988015MaRDI QIDQ6114471
Publication date: 12 July 2023
Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.01720
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Flows related to mean curvature (53E10)
Cites Work
- Unnamed Item
- Radially symmetric solutions of an anisotropic mean curvature equation modeling the corneal shape
- Compact translating solitons with non-empty planar boundary
- The Dirichlet problem for gradient dependent prescribed mean curvature equations in the Lorentz-Minkowski space
- Constant mean curvature surfaces with planar boundary
- Flow by mean curvature of convex surfaces into spheres
- Remarks on the generalized Cauchy-Dirichlet problem for graph mean curvature flow with driving force
- Symmetry of hypersurfaces of constant mean curvature with symmetric boundary
- Convexity estimates for mean curvature flow and singularities of mean convex surfaces
- Positive rotationally symmetric solutions for a Dirichlet problem involving the higher mean curvature operator in Minkowski space
- Compact \(\lambda \)-translating solitons with boundary
- A relation between height, area, and volume for compact constant mean curvature surfaces in \(\mathbb M^{2} \times \mathbb R\)
- Invariant surfaces in Euclidean space with a log-linear density
- Minimum principles and a priori estimates for some translating soliton type problems
- Rotational hypersurfaces of prescribed mean curvature
- Invariant hypersurfaces with linear prescribed mean curvature
- Radial solutions of the Dirichlet problem for a class of quasilinear elliptic equations arising in optometry
- On two-dimensional immersions of prescribed mean curvature in \(\mathbb R^{n}\)
- A symmetry problem in potential theory
- The convex hull property of immersed manifolds
- The Dirichlet problem for a prescribed anisotropic mean curvature equation: existence, uniqueness and regularity of solutions
- Über die Existenz einer Fläche konstanter mittlerer Krümmung bei vorgegebener Berandung
- Radial solutions for equations of Weingarten type
- The Dirichlet problem for graphs of prescribed anisotropic mean curvature in ℝn+1
- Elliptic Partial Differential Equations of Second Order
- The global geometry of surfaces with prescribed mean curvature in ℝ³
- Constant Mean Curvature Surfaces with Boundary
- The problem of dirichlet for quasilinear elliptic differential equations with many independent variables
This page was built for publication: Compact surfaces with boundary with prescribed mean curvature depending on the Gauss map
