Quantitative Stratification and the Regularity of Harmonic Maps and Minimal Currents
From MaRDI portal
Publication:4921716
DOI10.1002/cpa.21446zbMath1269.53063arXiv1107.3097OpenAlexW2963725759WikidataQ125308903 ScholiaQ125308903MaRDI QIDQ4921716
Publication date: 13 May 2013
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1107.3097
Related Items (29)
Convergence of Ricci flows with bounded scalar curvature ⋮ Quantitative stratification and the regularity of mean curvature flow ⋮ Global estimates and energy identities for elliptic systems with antisymmetric potentials ⋮ Rectifiability of singular sets of noncollapsed limit spaces with Ricci curvature bounded below ⋮ On the number of singular points for planar multivalued harmonic functions ⋮ Quantitative stratification and higher regularity for biharmonic maps ⋮ Area-minimizing hypersurfaces in manifolds of Ricci curvature bounded below ⋮ Unique continuation on convex domains ⋮ Energy identity for stationary Yang Mills ⋮ Lower bounds on Ricci curvature and quantitative behavior of singular sets ⋮ Mean convex smoothing of mean convex cones ⋮ Boundary regularity of stationary critical points for a Cosserat energy functional ⋮ Regularity and compactness of harmonic-Einstein equations ⋮ Asymptotics for the fractional Allen-Cahn equation and stationary nonlocal minimal surfaces ⋮ The singular structure and regularity of stationary varifolds ⋮ Improved partial regularity for manifold-constrained minimisers of subquadratic energies ⋮ Rectifiable-Reifenberg and the regularity of stationary and minimizing harmonic maps ⋮ The size of the singular set of a type I Ricci flow ⋮ Some regularity results for \(p\)-harmonic mappings between Riemannian manifolds ⋮ Heat flow and quantitative differentiation ⋮ Quantitative stratification of stationary connections ⋮ Convex functionals and the stratification of the singular set of their stationary points ⋮ Stratification for the singular set of approximate harmonic maps ⋮ Quantitative regularity for \(p\)-minimizing maps through a Reifenberg theorem ⋮ Critical Sets of Elliptic Equations ⋮ Rectifiability of the singular set of multiple-valued energy minimizing harmonic maps ⋮ Regularity theory for type I Ricci flows ⋮ Volume bounds for the quantitative singular strata of non collapsed RCD metric measure spaces ⋮ Quantitative stratification and the regularity of harmonic map flow
Cites Work
- Unnamed Item
- Unnamed Item
- Compression bounds for Lipschitz maps from the Heisenberg group to \(L_{1}\)
- A regularity theory for harmonic maps
- Curvature estimates for minimal hypersurfaces
- On the singularities of spaces with bounded Ricci curvature
- Lower bounds on Ricci curvature and the almost rigidity of warped products
- Lower bounds on Ricci curvature and quantitative behavior of singular sets
- Quantitative stratification and the regularity of harmonic map flow
- Quantitative stratification and the regularity of mean curvature flow
- Some interior regularity theorems for minimal surfaces and an extension of Bernstein's theorem
- Minimal varieties in Riemannian manifolds
- On the first variation of a varifold
- Stratification of minimal surfaces, mean curvature flows, and harmonic maps.
- Quantitative Differentiation: A General Formulation
- Critical Sets of Elliptic Equations
This page was built for publication: Quantitative Stratification and the Regularity of Harmonic Maps and Minimal Currents