Geometry of \([\varphi, {\mathbf{e}}_3]\)-minimal surfaces in \(\mathbb{R}^3\)
From MaRDI portal
Publication:6120652
DOI10.1007/978-3-031-39916-9_12arXiv2205.09467MaRDI QIDQ6120652
No author found.
Publication date: 25 March 2024
Published in: New Trends in Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.09467
Cauchy problemWeierstrass representation\([\varphi, {\mathbf{e}}_3\)-maximal surfaces]\([\varphi,{\mathbf{e}}_3\)-minimal surfaces]Calabi's correspondenceWeighted area functional
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the compactness theorem for embedded minimal surfaces in \(3\)-manifolds with locally bounded area and genus
- Stability of translating solutions to mean curvature flow
- On the topology of translating solitons of the mean curvature flow
- General curvature estimates for stable H-surfaces in 3-manifolds applications
- Uniqueness, symmetry, and embeddedness of minimal surfaces
- The two-dimensional analogue of the catenary
- Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
- A class of variational problems with linear growth
- Weierstrass representation for minimal surfaces in hyperbolic space
- Invariant singular minimal surfaces
- Uniqueness of critical points and maximum principles of the singular minimal surface equation
- The Dirichlet problem for the \(\alpha \)-singular minimal surface equation
- Generalized Calabi correspondence and complete spacelike surfaces
- A characterization of the grim reaper cylinder
- Curvature estimates and compactness theorems in 3-manifolds for surfaces that are stationary for parametric elliptic functionals
- Equilibrium of surfaces in a vertical force field
- Notes on translating solitons for mean curvature flow
- Uniqueness of the \([\varphi, \vec{e}_3\)-catenary cylinders by their asymptotic behaviour]
- Interior \(C^{1+ \alpha}\)-regularity of solutions of two-dimensional variational problems with obstacles
- A Calabi's type correspondence
- An extension of Calabi's correspondence between the solutions of two Bernstein problems to more general elliptic nonlinear equations
- Graphical translators for mean curvature flow
- Extensions of the duality between minimal surfaces and maximal surfaces
- Entire spacelike translating solitons in Minkowski space
- Removable singularities of solutions of elliptic equations. II
- A Weierstrass type representation for translating solitons and singular minimal surfaces
- Minimal surface systems, maximal surface systems and special Lagrangian equations
- Complete translating solitons to the mean curvature flow in â3 with nonnegative mean curvature
- Maximum Principles and Geometric Applications
- A NONEXISTENCE THEOREM FOR THE TWO-DIMENSIONAL AMLOGUE OF THE CATENARY
- Elliptic regularization and partial regularity for motion by mean curvature
- The nature of singularities in mean curvature flow of mean-convex sets
- Compact singular minimal surfaces with boundary
- Stability and compactness for complete đ-minimal surfaces
- On the regularity of solutions of twoâdimensional variational problems with obstructions
- Twoâdimensional variational problems with obstructions, and Plateau's problem for hâsurfaces in a riemannian manifold
- Scherk-like translators for mean curvature flow
This page was built for publication: Geometry of \([\varphi, {\mathbf{e}}_3]\)-minimal surfaces in \(\mathbb{R}^3\)