Isoperimetric and stable sets for log-concave perturbations of Gaussian measures
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Publication:483953
DOI10.2478/agms-2014-0014zbMath1304.49096arXiv1403.4510OpenAlexW2069897922MaRDI QIDQ483953
Publication date: 17 December 2014
Published in: Analysis and Geometry in Metric Spaces (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1403.4510
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational problems in a geometric measure-theoretic setting (49Q20) Optimization of shapes other than minimal surfaces (49Q10)
Related Items (6)
An isoperimetric inequality for Gauss-like product measures ⋮ Symmetry of minimizers of a Gaussian isoperimetric problem ⋮ Stable capillary hypersurfaces and the partitioning problem in balls with radial weights ⋮ Stable and isoperimetric regions in some weighted manifolds with boundary ⋮ Parabolicity criteria and characterization results for submanifolds of bounded mean curvature in model manifolds with weights ⋮ The Gaussian double-bubble and multi-bubble conjectures
Cites Work
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- On the isoperimetric problem for radial log-convex densities
- Perturbations in the Gaussian isoperimetric inequality
- Compact stable hypersurfaces with free boundary in convex solid cones with homogeneous densities
- Sharp isoperimetric inequalities via the ABP method
- On the isoperimetric problem with respect to a mixed Euclidean-Gaussian density
- Some calibrated surfaces in manifolds with density
- The hyperplane is the only stable, smooth solution to the isoperimetric problem in Gaussian space
- The log-convex density conjecture and vertical surface area in warped products
- Some isoperimetric problems in planes with density
- Functions of bounded variation on ``good metric spaces
- A class of degenerate elliptic equations and a Dido's problem with respect to a measure
- Stability of hypersurfaces of constant mean curvature in Riemannian manifolds
- The Brunn-Minkowski inequality in Gauss space
- On the connectivity of boundaries of sets minimizing perimeter subject to a volume constraint
- An isoperimetric inequality on the discrete cube and an elementary proof of the isoperimetric inequality in Gauss space
- Isoperimetry of waists and concentration of maps
- Some remarks on isoperimetry of Gaussian type
- Some new results on eigenvectors via dimension, diameter, and Ricci curvature
- Parabolicity of manifolds
- Boundary regularity for solutions of a partitioning problem
- Lévy-Gromov's isoperimetric inequality for an infinite dimensional diffusion generator
- A generalization of Caffarelli's contraction theorem via (reverse) heat flow
- Isoperimetry and stability of hyperplanes for product probability measures
- Existence of isoperimetric regions in \(\mathbb{R}^{n}\) with density
- Complemented Brunn-Minkowski inequalities and isoperimetry for homogeneous and non-homogeneous measures
- Proof of the log-convex density conjecture
- Sharp isoperimetric inequalities and model spaces for the curvature-dimension-diameter condition
- Parabolicity and stochastic completeness of manifolds in terms of the Green formula
- The \(\epsilon\)-\(\epsilon^\beta\) property, the boundedness of isoperimetric sets in \(\mathbb{R}^{N}\) with density, and some applications
- Sharp dimension free quantitative estimates for the Gaussian isoperimetric inequality
- Free boundary stable hypersurfaces in manifolds with density and rigidity results
- On the isoperimetric problem in Euclidean space with density
- Variétés kählériennes à première classe de Chern non negative et variétés riemanniennes à courbure de Ricci généralisée non negative. (Kählerian manifolds of non-negative first Chern class and Riemannian manifolds with non-negative generalized Ricci curvature)
- Some sharp isoperimetric theorems for Riemannian manifolds
- Isoperimetric regions in cones
- Sets of Finite Perimeter and Geometric Variational Problems
- On the isoperimetric deficit in Gauss space
- Symétrisation dans l'espace de Gauss.
- Regularity of isoperimetric hypersurfaces in Riemannian manifolds
- Existence and characterization of regions minimizing perimeter under a volume constraint inside Euclidean cones
- Poincaré and Brunn-Minkowski inequalities on the boundary of weighted Riemannian manifolds
- A Proof of Bobkov's Spectral Bound For Convex Domains via Gaussian Fitting and Free Energy Estimation
- Some isoperimetric comparison theorems for convex bodies in Riemannian
- The geometry of Markov diffusion generators
- Some fine properties of sets of finite perimeter in Ahlfors regular metric measure spaces
- Monotonicity properties of optimal transportation and the FKG and related inequalities
- On the cases of equality in Bobkov's inequality and Gaussian rearrangement
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