The Riemannian quantitative isoperimetric inequality
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Publication:6172666
DOI10.4171/jems/1223zbMath1525.53008arXiv1908.00677OpenAlexW2964947356WikidataQ115212479 ScholiaQ115212479MaRDI QIDQ6172666
Otis Chodosh, Max Engelstein, Luca Spolaor
Publication date: 20 July 2023
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.00677
Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Variational problems in a geometric measure-theoretic setting (49Q20)
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Cites Work
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- Minimality via second variation for a nonlocal isoperimetric problem
- (Log-)epiperimetric inequality and regularity over smooth cones for almost area-minimizing currents
- Asymptotics for a class of non-linear evolution equations, with applications to geometric problems
- A non-existence theorem for stable constant mean curvature hypersurfaces
- The quantitative isoperimetric inequality and related topics
- A mass transportation approach to quantitative isoperimetric inequalities
- On complete minimal surfaces with finite Morse index in three manifolds
- Rigidity in the harmonic map heat flow
- Quantitative minimality of strictly stable extremal submanifolds in a flat neighbourhood
- The isoperimetric problem in spherical cylinders
- A selection principle for the sharp quantitative isoperimetric inequality
- Stability for a GNS inequality and the log-HLS inequality, with application to the critical mass Keller-Segel equation
- Best constants for the isoperimetric inequality in quantitative form
- Equality in Borell-Brascamp-Lieb inequalities on curved spaces
- Extremal functions for Morrey's inequality
- Uniqueness of asymptotically conical tangent flows
- Łojasiewicz-Simon gradient inequalities for analytic and Morse-Bott functions on Banach spaces
- On the asymptotic behavior of the solutions to parabolic variational inequalities
- Resolution of singularities and geometric proofs of the Łojasiewicz inequalities
- A note on strong-form stability for the Sobolev inequality
- Uniqueness of blowups and Łojasiewicz inequalities
- Faber-Krahn inequalities in sharp quantitative form
- Quantitative stability for the Brunn-Minkowski inequality
- A quantitative isoperimetric inequality on the sphere
- The sharp quantitative isoperimetric inequality
- Unique isoperimetric foliations of asymptotically flat manifolds in all dimensions
- Sharp stability inequalities for the Plateau problem
- A strong form of the quantitative isoperimetric inequality
- Some sharp isoperimetric theorems for Riemannian manifolds
- Sets of Finite Perimeter and Geometric Variational Problems
- On the isoperimetric deficit in Gauss space
- On stable constant mean curvature surfaces in $\mathbb S^2\times \mathbb R$ and $\mathbb H^2\times \mathbb R $
- A quantitative isoperimetric inequality in n-dimensional space.
- The isoperimetric inequality
- A strong minimax property of nondegenerate minimal submanifolds.
- Stability in the Isoperimetric Problem for Convex or Nearly Spherical Domains in R n
- Isoperimetric domains in the Riemannian product of a circle with a simply connected space form and applications to free boundary problems
- Quantitative Isoperimetry à la Levy‐Gromov
- Uniqueness of Tangent Cones for Two‐Dimensional Almost‐Minimizing Currents
- An Infinite Dimensional Version of Sard's Theorem
- Stable constant-mean-curvature hypersurfaces are area minimizing in small \(L^1\) neighborhoods
- A sharp quantitative isoperimetric inequality in hyperbolic \(n\)-space
