A non-parametric Plateau problem with partial free boundary
From MaRDI portal
Publication:6621562
DOI10.5802/JEP.273MaRDI QIDQ6621562
Riccardo Scala, Roberta Marziani, Giovanni Bellettini
Publication date: 18 October 2024
Published in: Journal de l’École polytechnique — Mathématiques (Search for Journal in Brave)
Minimal surfaces and optimization (49Q05) Methods involving semicontinuity and convergence; relaxation (49J45) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Area minimizing discs in metric spaces
- Semiconcave functions, Hamilton-Jacobi equations, and optimal control
- Solution of the Plateau problem for \(m\)-dimensional surfaces of varying topological type
- The perimeter inequality under Steiner symmetrization: cases of equality
- Pairings between measures and bounded functions and compensated compactness
- 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
- New lower semicontinuity results for polyconvex integrals
- Covers, soap films and BV functions
- Triple covers and a non-simply connected surface spanning an elongated tetrahedron and beating the cone
- Some remarks on the problem of Plateau.
- On Plateaus problem.
- Soap films and covering spaces
- On the relaxed area of the graph of discontinuous maps from the plane to the plane taking three values with no symmetry assumptions
- Normal and integral currents
- Plateau's problem. An invitation to varifold geometry.
- Plateau’s Problem
- Minimization of non-coercive integrals by means of convex rearrangement
- On the area of the graph of a singular map from the plane to the plane taking three values
- Minimal Surfaces
- Conformal mappings and the Plateau-Douglas problem in Riemannian manifolds.
- Every closed convex set is the set of minimizers of some $C^{\infty }$-smooth convex function
- Optimal estimates for the triple junction function and other surprising aspects of the area functional
- Solution of the problem of Plateau.
- Plateau's problem for singular curves
- On the singular planar Plateau problem
This page was built for publication: A non-parametric Plateau problem with partial free boundary
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6621562)