The isoperimetric problem<i>via</i>direct method in noncompact metric measure spaces with lower Ricci bounds (Q5097304)

scientific article; zbMATH DE number 7574253

Language	Label	Description	Also known as
English	The isoperimetric problem<i>via</i>direct method in noncompact metric measure spaces with lower Ricci bounds	scientific article; zbMATH DE number 7574253

Statements

instance of

scholarly article

0 references

title

The isoperimetric problem<i>via</i>direct method in noncompact metric measure spaces with lower Ricci bounds (English)

0 references

0 references

0 references

0 references

ESAIM: Control, Optimisation and Calculus of Variations

0 references

publication date

23 August 2022

0 references

full work available at URL

https://arxiv.org/abs/2201.03525

0 references

zbMATH Keywords

isoperimetric problem

0 references

existence

0 references

direct method

0 references

Ricci lower bounds

0 references

RCD spaces

0 references

MaRDI profile type

MaRDI publication profile

0 references

cites work

Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative Ricci curvature

0 references

Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints

0 references

CALCULUS, HEAT FLOW AND CURVATURE-DIMENSION BOUNDS IN METRIC MEASURE SPACES

0 references

Some fine properties of sets of finite perimeter in Ahlfors regular metric measure spaces

0 references

Fine properties of sets of finite perimeter in doubling metric measure spaces

0 references

Rigidity of the 1-Bakry-Émery inequality and sets of finite Perimeter in RCD spaces

0 references

Equivalent definitions of $BV$ space and of total variation on metric measure spaces

0 references

Riemannian Ricci curvature lower bounds in metric measure spaces with 𝜎-finite measure

0 references

Metric measure spaces with Riemannian Ricci curvature bounded from below

0 references

New stability results for sequences of metric measure spaces with uniform Ricci bounds from below

0 references

Q4667206

0 references

Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces

0 references

On the existence of isoperimetric regions in manifolds with nonnegative Ricci curvature and Euclidean volume growth

0 references

Volume bounds for the quantitative singular strata of non collapsed RCD metric measure spaces

0 references

Isoperimetric sets in spaces with lower bounds on the Ricci curvature

0 references

Sur le volume minimal de ${R}\sp 2$

0 references

Q5693288

0 references

Some isoperimetric comparison theorems for convex bodies in Riemannian

0 references

Existence and non-existence of minimizers for Poincaré-Sobolev inequalities

0 references

Boundary regularity and stability for spaces with Ricci bounded below

0 references

Rectifiability of RCD(K,N) spaces via δ-splitting maps

0 references

Effective versions of the positive mass theorem

0 references

The globalization theorem for the curvature-dimension condition

0 references

Lower bounds on Ricci curvature and the almost rigidity of warped products

0 references

On the structure of spaces with Ricci curvature bounded below. I

0 references

On the structure of spaces with Ricci curvature bounded below. II

0 references

On the structure of spaces with Ricci curvature bounded below. III

0 references

Large isoperimetric regions in asymptotically hyperbolic manifolds

0 references

Isoperimetric structure of asymptotically conical manifolds

0 references

Ricci curvature and volume convergence

0 references

Non-collapsed spaces with Ricci curvature bounded from below

0 references

Large isoperimetric surfaces in initial data sets

0 references

Unique isoperimetric foliations of asymptotically flat manifolds in all dimensions

0 references

On the equivalence of the entropic curvature-dimension condition and Bochner's inequality on metric measure spaces

0 references

Existence of isoperimetric regions in contact sub-Riemannian manifolds

0 references

On the differential structure of metric measure spaces and applications

0 references

Convergence of pointed non-compact metric measure spaces and stability of Ricci curvature bounds and heat flows

0 references

Sobolev met Poincaré

0 references

A Bishop-type inequality on metric measure spaces with Ricci curvature bounded below

0 references

Isoperimetric inequalities in unbounded convex bodies

0 references

Ricci curvature for metric-measure spaces via optimal transport

0 references

Functions of bounded variation on ``good'' metric spaces

0 references

Heat semigroup and functions of bounded variation on Riemannian manifolds

0 references

Structure theory of metric measure spaces with lower Ricci curvature bounds

0 references

Existence of isoperimetric regions in non-compact Riemannian manifolds under Ricci or scalar curvature conditions

0 references

Q4510212

0 references

Some sharp isoperimetric theorems for Riemannian manifolds

0 references

Isoperimetric regions in cones

0 references

Local Hölder continuity of the isoperimetric profile in complete noncompact Riemannian manifolds with bounded geometry

0 references

Generalized compactness for finite perimeter sets and applications to the isoperimetric problem

0 references

The isoperimetric problem of a complete Riemannian manifold with a finite number of $C^0$-asymptotically Schwarzschild ends

0 references

Generalized existence of isoperimetric regions in non-compact Riemannian manifolds and applications to the isoperimetric profile

0 references

Local Poincaré inequalities from stable curvature conditions on metric spaces

0 references

The isoperimetric problem in complete surfaces of nonnegative curvature.

0 references

Existence and characterization of regions minimizing perimeter under a volume constraint inside Euclidean cones

0 references

The Isoperimetric Inequality on Asymptotically Flat Manifolds with Nonnegative Scalar Curvature

0 references

On the geometry of metric measure spaces. I

0 references

On the geometry of metric measure spaces. II

0 references

Optimal Transport

0 references

Identifiers

zbMATH Open document ID

1498.53060

0 references

DOI

10.1051/cocv/2022052

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:5097304