scientific article
From MaRDI portal
Publication:3756062
zbMath0619.49019MaRDI QIDQ3756062
Publication date: 1986
Full work available at URL: https://eudml.org/doc/83972
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Riemannian manifoldsboundary regularityfixed and free boundariesembedded minimal surfaces of controlled topological type
Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational problems in a geometric measure-theoretic setting (49Q20) Global Riemannian geometry, including pinching (53C20)
Related Items
Unnamed Item, Embedded minimal annuli solving an exterior problem, The exterior Plateau problem, A variational approach to the existence of complete embedded minimal surfaces, Unnamed Item, Free boundary minimal surfaces with connected boundary in the 3-ball by tripling the equatorial disc, Free boundary minimal surfaces in the unit three-ball via desingularization of the critical catenoid and the equatorial disc, Foliations of small tubes in Riemannian manifolds by capillary minimal discs, Bubbling analysis and geometric convergence results for free boundary minimal surfaces, New minimal surfaces in \(\mathbb S^3\) desingularizing the Clifford tori
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Everywhere-regularity for some quasilinear systems with a lack of ellipticity
- Harmonic maps between surfaces (with a special chapter on conformal mappings)
- Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature
- Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature
- Topology of three dimensional manifolds and the embedding problems in minimal surface theory
- The existence of embedded minimal surfaces and the problem of uniqueness
- Least area incompressible surfaces in 3-manifolds
- On the boundary behavior of minimal surfaces with a free boundary which are not minima of the area
- The classical Plateau problem and the topology of three-dimensional manifolds. The embedding of the solution given by Douglas-Morrey and an analytic proof of Dehn's lemma
- Geometrische Methoden zur Gewinnung von a-priori-Schranken für harmonische Abbildungen
- On the first variation of a varifold: Boundary behavior
- The structure of stationary one dimensional varifolds with positive density
- On embedded minimal surfaces
- Extreme curves bound embedded minimal surfaces of the type of the disc
- On embedded minimal disks in convex bodies
- Existence and regularity almost everywhere of solutions to elliptic variational problems among surfaces of varying topological type and singularity structure
- Boundary behavior of minimal surfaces
- A proof of the regularity everywhere of the classical solution to Plateau's problem
- Regularity of minimizing surfaces of prescribed mean curvature
- On the first variation of a varifold
- Verzweigungspunkte von H-Flächen. I
- Verzweigungspunkte von H-Flächen. II
- Conformal mappings and the Plateau-Douglas problem in Riemannian manifolds.
- On Plateau's problem for minimal surfaces of higher genus in ${\mathbf{R}}^3 $
- Boundary regularlty for solutions to various capillarity and free boundary problems
- Some remarks on minimal surfaces in riemannian manifolds
- A Remark on Mahler's Compactness Theorem
- Boundary regularity and embedded solutions for the oriented Plateau problem
