A characterization of convex calibrable sets in \(\mathbb R^N\) with respect to anisotropic norms
From MaRDI portal
Publication:935276
DOI10.1016/j.anihpc.2008.04.003zbMath1144.52002OpenAlexW1995536962MaRDI QIDQ935276
Salvador Moll, Matteo Novaga, Vincent Caselles, Antonin Chambolle
Publication date: 6 August 2008
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/78812
Variational inequalities (49J40) Degenerate parabolic equations (35K65) Degenerate elliptic equations (35J70) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)
Related Items
Constrained optimization problems governed by PDE models of grain boundary motions, Anisotropic mean curvature on facets and relations with capillarity, An Overview on the Cheeger Problem, The Cheeger cut and Cheeger problem in metric measure spaces, The Cheeger problem in abstract measure spaces, Periodic total variation flow of non-divergence type in \(\mathbb R^n\), Fundamentals of Non-Local Total Variation Spectral Theory, Inverse scale space decomposition, Optimal control problems governed by 1-D Kobayashi-Warren-Carter type systems, Total Variation Denoising in $l^1$ Anisotropy, Non-unique solutions for a convex TV – L1 problem in image segmentation, Sharp estimates on the first Dirichlet eigenvalue of nonlinear elliptic operators via maximum principle, The volume preserving crystalline mean curvature flow of convex sets in \(\mathbb R^N\), Nonlinear Power Method for Computing Eigenvectors of Proximal Operators and Neural Networks, On the Cheeger sets in strips and non-convex domains
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A parabolic quasilinear problem for linear growth functionals
- The total variation flow in \(\mathbb R^N\)
- Crystalline mean curvature flow of convex sets
- Pairings between measures and bounded functions and compensated compactness
- Existence and regularity of a capillary surface with prescribed contact angle
- Pseudo solutions of the time-dependent minimal surface problem
- On the equation of surfaces of prescribed mean curvature. Existence and uniqueness without boundary conditions
- Area minimizing sets subject to a volume constraint in a convex set
- Facet-breaking for three-dimensional crystals evolving by mean curvature
- The curvature of a set with finite area
- Anisotropic motion by mean curvature in the context of Finsler geometry
- Parabolic quasilinear equations minimizing linear growth functionals
- An algorithm for total variation minimization and applications
- Evolution of characteristic functions of convex sets in the plane by the minimizing total variation flow
- The anisotropic total variation flow
- A characterization of convex calibrable sets in \(\mathbb R^N\)
- An algorithm for mean curvature motion
- A notion of total variation depending on a metric with discontinuous coefficients
- Characterization of Cheeger sets for convex subsets of the plane
- Anisotropic curvature-driven flow of convex sets
- Bounds for vertical points of solutions of prescribed mean curvature type equations, I
- APPROXIMATION AND COMPARISON FOR NONSMOOTH ANISOTROPIC MOTION BY MEAN CURVATURE IN ℝN
- Isoperimetric regions in rotationally symmetric convex bodies
- Uniqueness of the Cheeger set of a convex body
- Uniqueness of the Cheeger set of a convex body
- The Dirichlet problem for the total variation flow
- On a crystalline variational problem. II: \(BV\) regularity and structure of minimizers on facets
- On a crystalline variational problem. I: First variation and global \(L^\infty\) regularity
- Characterization of facet breaking for nonsmooth mean curvature flow in the convex case
