Quantitative stratification and higher regularity for biharmonic maps
From MaRDI portal
Publication:889633
DOI10.1007/s00229-015-0750-xzbMath1327.53079arXiv1410.5640OpenAlexW2963299990MaRDI QIDQ889633
Christine Breiner, Tobias Lamm
Publication date: 9 November 2015
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1410.5640
Related Items (8)
Rectifiability of singular sets of noncollapsed limit spaces with Ricci curvature bounded below ⋮ Heat flow of extrinsic biharmonic maps from a four dimensional manifold with boundary ⋮ The singular structure and regularity of stationary varifolds ⋮ Rectifiable-Reifenberg and the regularity of stationary and minimizing harmonic maps ⋮ Quantitative stratification of stationary connections ⋮ Boundary regularity for minimizing biharmonic maps ⋮ Stratification for the singular set of approximate harmonic maps ⋮ Regularity theory for type I Ricci flows
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Improved estimate of the singular set of Dir-minimizing \(Q\)-valued functions via an abstract regularity result
- An optimal partial regularity result for minimizers of an intrinsically defined second-order functional
- A monotonicity formula for stationary biharmonic maps
- Partial regularity for biharmonic maps, revisited
- A regularity theory for harmonic maps
- Partial regularity for stationary harmonic maps into spheres
- Gradient estimates and blow-up analysis for stationary harmonic maps
- On the singular set of stationary harmonic maps
- On biharmonic maps and their generalizations
- Biharmonic maps from \(\mathbb R^4\) into a Riemannian manifold
- Remarks on biharmonic maps into spheres
- 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
- Conservation laws for conformally invariant variational problems
- Regularity and relaxed problems of minimizing biharmonic maps into spheres
- Quantitative regularity for \(p\)-harmonic maps
- Dimension reduction for the singular set of biharmonic maps
- A Variational Problem Pertaining to Biharmonic Maps
- Stratification of minimal surfaces, mean curvature flows, and harmonic maps.
- Stationary biharmonic maps fromRm into a Riemannian manifold
- Quantitative Stratification and the Regularity of Harmonic Maps and Minimal Currents
- Partial regularity for harmonic maps and related problems
- Conservation Laws for Fourth Order Systems in Four Dimensions
- Critical Sets of Elliptic Equations
This page was built for publication: Quantitative stratification and higher regularity for biharmonic maps
