An extension of a theorem of Serrin to graphs in warped products
From MaRDI portal
Publication:2577086
DOI10.1007/BF02922192zbMath1110.58021MaRDI QIDQ2577086
Marcos Dajczer, Jaime Bruck Ripoll
Publication date: 3 January 2006
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Elliptic equations on manifolds, general theory (58J05) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)
Related Items
The Dirichlet problem for the minimal hypersurface equation in \(M \times \mathbb R\) with prescribed asymptotic boundary, Spacelike graphs of prescribed mean curvature in the steady state space, Existence and topological uniqueness of compact CMC hypersurfaces with boundary in hyperbolic space, Asymptotic Dirichlet problems in warped products, Hopf type theorems for surfaces in the de Sitter-Schwarzschild and Reissner-Nordstrom manifolds, Uniform a priori estimates for a class of horizontal minimal equations, Killing graphs with prescribed mean curvature, Complete minimal graphs with prescribed asymptotic boundary on rotationally symmetric Hadamard surfaces, Conformal Killing graphs with prescribed mean curvature, A half-space theorem for ideal Scherk graphs in \(M \times \mathbb R\), Quasilinear elliptic inequalities on complete Riemannian manifolds, Survey on the asymptotic Dirichlet problem for the minimal surface equation, Killing graphs with prescribed mean curvature and Riemannian submersions, Existence and uniqueness of CMC parabolic graphs in \(\mathbb H^3\) with boundary data satisfying the bounded slope condition, Sharp solvability criteria for Dirichlet problems of mean curvature type in Riemannian manifolds: non-existence results
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence of prescribed mean curvature graphs in hyperbolic space
- Global properties of constant mean curvature surfaces in \(\mathbb H^2\times\mathbb R\)
- An application of second variation to submanifold theory
- Some remarks on compact constant mean curvature hypersurfaces in a halfspace of \(\mathbb{H}^{n+1}\)
- Existence of constant mean curvature graphs in hyperbolic space
- Some properties of hypersurfaces of prescribed mean curvature in \(H^{n+1}\)
- Elliptic partial differential equations of second order
- Killing fields, mean curvature, translation maps
- Isometric immersions of warped products
- Existence and non-existence for a mean curvature equation in hyperbolic space
- Nonlinear second-order elliptic equations V. The dirichlet problem for weingarten hypersurfaces
- The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
- The problem of dirichlet for quasilinear elliptic differential equations with many independent variables
- Some characterization, uniqueness and existence results for Euclidean graphs of constant mean curvature with planar boundary.
