The quantitative isoperimetric inequality and related topics
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Publication:887214
DOI10.1007/s13373-015-0074-xzbMath1327.49076OpenAlexW1935847907WikidataQ59404036 ScholiaQ59404036MaRDI QIDQ887214
Publication date: 28 October 2015
Published in: Bulletin of Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13373-015-0074-x
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational problems in a geometric measure-theoretic setting (49Q20) Optimization of shapes other than minimal surfaces (49Q10)
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Cites Work
- A quantitative Pólya-Szegö principle
- On the cases of equality in Bobkov's inequality and Gaussian rearrangement
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Minimality via second variation for a nonlocal isoperimetric problem
- Regularity of sets with quasiminimal boundary surfaces in metric spaces
- Sharp stability theorems for the anisotropic Sobolev and log-Sobolev inequalities on functions of bounded variation
- Stability of Pólya-Szegő inequality for log-concave functions
- Sharp stability of some spectral inequalities
- A two-sided estimate for the Gaussian noise stability deficit
- Uniform estimates and limiting arguments for nonlocal minimal surfaces
- A quantitative isoperimetric inequality for fractional perimeters
- A sharp isoperimetric inequality in the plane
- Gamma-convergence of nonlocal perimeter functionals
- On a Bonnesen type inequality involving the spherical deviation
- Bonnesen's inequality for John domains in \(\mathbb R^n\)
- Quasi-minima
- The perimeter inequality under Steiner symmetrization: cases of equality
- The sharp Sobolev inequality in quantitative form
- The sharp quantitative Sobolev inequality for functions of bounded variation
- A mass transportation approach to quantitative isoperimetric inequalities
- Nonlinear ground state representations and sharp Hardy inequalities
- A refined Brunn-Minkowski inequality for convex sets
- Sobolev inequalities with remainder terms
- Rearrangements and convexity of level sets in PDE
- Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds
- Wulff theorem and best constant in Sobolev inequality
- Symmetry and related properties via the maximum principle
- Une méthode de comparaison isoperimetrique de fonctionnelles de domaines de la physique mathématique. I. Premiere partie: une demonstration de la conjecture isoperimetrique \(P\lambda^2\geq\pi j^4_0/2\) de Polya et Szegö
- Regularity theory for almost minimal currents
- On asymmetry and capacity
- A note on the Sobolev inequality
- The stability of some eigenvalue estimates
- The Brunn-Minkowski inequality in Gauss space
- Best constant in Sobolev inequality
- Problèmes isoperimetriques et espaces de Sobolev
- A problem in the theory of subordination
- Quasiminimal surfaces of codimension 1 and John domains
- On an open question about functions of bounded variation.
- A mass-transportation approach to sharp Sobolev and Gagliardo-Nirenberg inequalities.
- Sharp stability inequalities for planar double bubbles
- Balls have the worst best Sobolev inequalities
- Functions of bounded variation and rearrangements
- On the Bourgain, Brezis, and Mironescu theorem concerning limiting embeddings of fractional Sobolev spaces
- Minimal rearrangements of Sobolev functions: A new proof.
- Existence and uniqueness of monotone measure-preserving maps
- 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
- A sharp stability result for the relative isoperimetric inequality inside convex cones
- Best constants for the isoperimetric inequality in quantitative form
- Isoperimetry and stability properties of balls with respect to nonlocal energies
- Quantitative stability for sumsets in \(\mathbb R^n\)
- Robust dimension free isoperimetry in Gaussian space
- Faber-Krahn inequalities in sharp quantitative form
- A sharp quantitative isoperimetric inequality in higher codimension
- A quantitative isoperimetric inequality on the sphere
- Dirichlet integrals and Steiner asymmetry
- Stability of the Steiner symmetrization of convex sets
- The sharp quantitative isoperimetric inequality
- Sharp dimension free quantitative estimates for the Gaussian isoperimetric inequality
- A strong form of the quantitative isoperimetric inequality
- Rigidity of equality cases in Steiner's perimeter inequality
- Beweis der isoperimetrischen Eigenschaft der Kugel im hyperbolischen und sphärischen Raum jeder Dimensionszahl
- A Strong Form of the Quantitative Wulff Inequality
- Sets of Finite Perimeter and Geometric Variational Problems
- Improved convergence theorems for bubble clusters. I. The planar case
- On the isoperimetric deficit in Gauss space
- Symétrisation dans l'espace de Gauss.
- Sharp Morrey-Sobolev inequalities and the distance from extremals
- Some methods for studying stability in isoperimetric type problems
- Nonlocal minimal surfaces
- A note on Cheeger sets
- Stability estimates for certain Faber-Krahn,isocapacitary and Cheeger inequalities
- Symmetrization with Equal Dirichlet Integrals
- Polar factorization and monotone rearrangement of vector‐valued functions
- A uniqueness proof for the Wulff Theorem
- A quantitative isoperimetric inequality in n-dimensional space.
- Bonnesen-Style Isoperimetric Inequalities
- The isoperimetric inequality
- Symmetric Decreasing Rearrangement Is Sometimes Continuous
- Optimal interior and boundary regularity for almost minimizers to elliptic variational integrals
- Stability in the Isoperimetric Problem for Convex or Nearly Spherical Domains in R n
- Remark on Stability of Brunn–Minkowski and Isoperimetric Inequalities for Convex Bodies
- The Wulff theorem revisited
- Dimensionality and the stability of the Brunn-Minkowski inequality
- Quantitative stability in the isodiametric inequality via the isoperimetric inequality
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