\(\lambda\) minimizing currents

DOI10.1007/BF03026561zbMath0819.53034MaRDI QIDQ1313567

Frank Duzaar, Klaus Steffen

Publication date: 24 August 1995

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155883

zbMATH Keywords

regularity theoryminimizing currents

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Integral geometry (53C65) Variational methods for second-order elliptic equations (35J20) Currents in global analysis (58A25)

Related Items (15)

The area minimizing problem in conformal cones. II ⋮ Regularity results for solutions to the \(c\)-Plateau problem with free boundary having small singular set, and generally in codimension zero ⋮ The spacetime positive mass theorem in dimensions less than eight ⋮ The isoperimetric problem in higher codimension ⋮ Density and positive mass theorems for initial data sets with boundary ⋮ The Jang equation reduction of the spacetime positive energy theorem in dimensions less than eight ⋮ \(C^{1,\alpha }\) theory for the prescribed mean curvature equation with Dirichlet data ⋮ The area minimizing problem in conformal cones. I ⋮ Uniqueness of tangent cones to positive-\((p,p)\) integral cycles ⋮ Existence and regularity for higher-dimensional \(H\)-systems ⋮ On the thread problem for minimal surfaces ⋮ Semi-calibrated 2-currents are pseudoholomorphic, with applications ⋮ On the existence of translating solutions of mean curvature flow in slab regions ⋮ Boundary regularity for area minimizing currents with prescribed volume ⋮ Boundary regularity for minimizing currents with prescribed mean curvature

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the existence of integral currents with prescribed mean curvature vector
• Area-minimizing integral currents with movable boundary parts of prescribed mass
• Area minimizing hypersurfaces with prescribed volume and boundary
• Esistenza e regolarita delle ipersuperfici di curvatura media assegnata in \(R^n\)
• On the first variation of a varifold: Boundary behavior
• Boundary regularity for area minimizing currents with prescribed volume
• On the existence of surfaces with prescribed mean curvature and boundary in higher dimensions
• Una maggiorazione a priori relativa alle ipersuperfici minimali non parametriche
• On the first variation of a varifold
• Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints
• Elliptic Partial Differential Equations of Second Order
• The singular sets of area minimizing rectifiable currents with codimension one and of area minimizing flat chains modulo two with arbitrary codimension
• A New Proof of the Interior Gradient Bound for the Minimal Surface Equation in n Dimensions
• Boundary regularity and embedded solutions for the oriented Plateau problem

This page was built for publication: \(\lambda\) minimizing currents