Quantitative stratification for some free-boundary problems
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Publication:4644959
DOI10.1090/tran/7401zbMath1404.35489arXiv1702.04325OpenAlexW2736174867MaRDI QIDQ4644959
Publication date: 9 January 2019
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.04325
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Regularity of almost minimizers with free boundary
- Some remarks on stability of cones for the one-phase free boundary problem
- Rectifiable-Reifenberg and the regularity of stationary and minimizing harmonic maps
- Regularity of the optimal sets for some spectral functionals
- Rectifiable sets and the traveling salesman problem
- Characterization of \(n\)-rectifiability in terms of Jones' square function. II
- A Harnack inequality approach to the regularity of free boundaries. I: Lipschitz free boundaries are \(C^{1,\alpha}\)
- Partial regularity for a minimum problem with free boundary
- A minimization problem with free boundary related to a cooperative system
- Rectifiability and upper Minkowski bounds for singularities of harmonic \(Q\)-valued maps
- Stratification for the singular set of approximate harmonic maps
- Lower bounds on Ricci curvature and quantitative behavior of singular sets
- The singular structure and regularity of stationary varifolds
- Reifenberg parameterizations for sets with holes
- A singular energy minimizing free boundary
- A Harnack inequality approach to the regularity of free boundaries part II: Flat free boundaries are Lipschitz
- Gradient estimates for variable coefficient parabolic equations and singular perturbation problems
- Variational problems with two phases and their free boundaries
- Regularity for Shape Optimizers: The Nondegenerate Case
- Discrete Reifenberg-type theorem
- Global energy minimizers for free boundary problems and full regularity in three dimensions
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