Plateau's Problem as a Singular Limit of Capillarity Problems
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Publication:6049740
DOI10.1002/cpa.21951OpenAlexW2954639641MaRDI QIDQ6049740
Darren King, Francesco Maggi, Salvatore Stuvard
Publication date: 11 October 2023
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/2434/870034
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Cites Work
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- Existence and soap film regularity of solutions to Plateau's problem
- On the shape of capillarity droplets in a container
- Soap film solutions to Plateau's problem
- Solutions to the Reifenberg plateau problem with cohomological spanning conditions
- Dimensional estimates for singular sets in geometric variational problems with free boundaries
- Geometry of measures in \(R^ n:\) Distribution, rectifiability, and densities
- On the outer Minkowski content of sets
- Area-minimizing regions with small volume in Riemannian manifolds with boundary
- A direct approach to Plateau's problem in any codimension
- On the existence of integral currents with prescribed mean curvature vector
- Outer Minkowski content for some classes of closed sets
- The Toda system and clustering interfaces in the Allen-Cahn equation
- Currents and flat chains associated to varifolds, with an application to mean curvature flow
- The structure of singularities in soap-bubble-like and soap-film-like minimal surfaces
- On the equation of surfaces of prescribed mean curvature. Existence and uniqueness without boundary conditions
- Size minimization and approximating problems
- Some new monotonicity theorems with applications to free boundary problems.
- Existence of solutions to a general geometric elliptic variational problem
- A direct approach to the anisotropic Plateau problem
- A direct approach to Plateau's problem
- Soap films with gravity and almost-minimal surfaces
- Regularity of free boundaries in anisotropic capillarity problems and the validity of Young's law
- The two membranes problem for different operators
- Solution of the Kirchhoff-Plateau problem
- A fixed contact angle condition for varifolds
- General methods of elliptic minimization
- Rectifiable sets, densities and tangent measures
- Plateau’s Problem
- Obstacle-type problems for minimal surfaces
- Sets of Finite Perimeter and Geometric Variational Problems
- Existence of minimizers for the Reifenberg Plateau problem
- Should we solve Plateau's problem again?
- Multiple solutions ofH-systems and Rellich's conjecture
- Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints
- Minimization of Anisotropic Energies in Classes of Rectifiable Varifolds
- Some isoperimetric comparison theorems for convex bodies in Riemannian
- Second-order \(\Gamma\)-limit for the Cahn-Hilliard functional