Uniqueness for volume-constraint local energy-minimizing sets in a half-space or a ball

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational problems in a geometric measure-theoretic setting (49Q20) Length, area, volume, other geometric measure theory (28A75) Rigidity results (53C24) Calculus of variations and optimal control; optimization (49-XX)

Cites Work

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A sharp strong maximum principle and a sharp unique continuation theorem for singular minimal hypersurfaces
Dimensional estimates for singular sets in geometric variational problems with free boundaries
Stability of capillary hypersurfaces with planar boundaries
Stable capillary hypersurfaces in a wedge
On stability of capillary surfaces in a ball
On CMC free-boundary stable hypersurfaces in a Euclidean ball
First stability eigenvalue of singular minimal hypersurfaces in spheres
Boundary regularity for solutions of a partitioning problem
Stability for hypersurfaces of constant mean curvature with free boundary
A strong maximum principle for singular minimal hypersurfaces
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Capillary surfaces with free boundary in a wedge
Uniqueness of stable capillary hypersurfaces in a ball
Regularity of free boundaries in anisotropic capillarity problems and the validity of Young's law
On stable constant mean curvature surfaces with free boundary
Stable capillary hypersurfaces in a half-space or a slab
Sets of Finite Perimeter and Geometric Variational Problems
Zerlegung konvexer Körper durch minimale Trennflächen.
Regularity of stable minimal hypersurfaces
A singular local minimizer for the volume- constrained minimal surface problem in a nonconvex domain
On stable capillary hypersurfaces with planar boundaries

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