The Dirichlet problem for the constant mean curvature equation in \(\operatorname{Sol}_3\)
From MaRDI portal
Publication:2315248
DOI10.1215/00192082-7768727OpenAlexW3102006561MaRDI QIDQ2315248
Ana Menezes, Patrícia Kruse Klaser
Publication date: 2 August 2019
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.03532
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)
Related Items (2)
Simons type formulas for surfaces in Sol3 and applications ⋮ The Jenkins-Serrin problem for translating horizontal graphs in \(M\times\mathbb{R}\)
Cites Work
- An interior gradient estimate for the mean curvature equation of Killing graphs and applications
- The Dirichlet problem for constant mean curvature graphs in \(\mathbb M\times\mathbb R\)
- The Dirichlet problem for constant mean curvature graphs in \(\mathbb H \times \mathbb R\) over unbounded domains
- Construction of harmonic diffeomorphisms and minimal graphs
- Minimal surfaces in \(\widehat PSL_2(\mathbb R)\)
- Surfaces with constant mean curvature in sol geometry
- The Dirichlet problem for the minimal surface equation in \(\mathrm{Sol}_{3}\), with possible infinite boundary data
- Killing graphs with prescribed mean curvature
- Minimal surfaces in \(\mathbb{H}^2\times\mathbb{R}\).
- A Jenkins-Serrin theorem in \(M^2 \times \mathbb R\)
- Variational problems of minimal surface type. II: Boundary value problems for the minimal surface equation
- Infinite boundary value problems for surfaces of constant mean curvature
- The Dirichlet problem for the minimal surface equation, with possible infinite boundary data, over domains in a Riemannian surface
- Minimal surfaces and harmonic diffeomorphisms from the complex plane onto certain Hadamard surfaces
- Infinite boundary value problems for constant mean curvature graphs in ℍ<sup xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> × ℝ and <b>S</b><sup xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> × ℝ
- The Dirichlet Problem for Surfaces of Constant Mean Curvature
This page was built for publication: The Dirichlet problem for the constant mean curvature equation in \(\operatorname{Sol}_3\)