Stable solution of the Logarithmic Minkowski problem in the case of hyperplane symmetries
From MaRDI portal
Publication:2048587
DOI10.1016/j.jde.2021.07.002OpenAlexW3185585164MaRDI QIDQ2048587
Apratim De, Károly jun. Böröczky
Publication date: 9 August 2021
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2021.07.002
Related Items
On the stability of the \(L_p\)-curvature, On subspace concentration for dual curvature measures, Convex geometry and its applications. Abstracts from the workshop held December 12--18, 2021 (hybrid meeting)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dar's conjecture and the log-Brunn-Minkowski inequality
- Multiple solutions of the \(L_{p}\)-Minkowski problem
- The cone volume measure of antipodal points
- The log-Brunn-Minkowski inequality
- Extremum problems for the cone volume functional of convex polytopes
- The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
- Cone-volume measure and stability
- Projection problems for symmetric polytopes
- Cone-volume measure of general centered convex bodies
- Interior \(W^{2,p}\) estimates for solutions of the Monge-Ampère equation
- Inequalities for the gamma function
- On the number of solutions to the discrete two-dimensional \(L_{0}\)-Minkowski problem.
- The discrete planar \(L_0\)-Minkowski problem
- A unified flow approach to smooth, even \(L_p\)-Minkowski problems
- The \(L_{p}\)-Minkowski problem for \(-n < p < 1\)
- Entropy and a convergence theorem for Gauss curvature flow in high dimension
- \(L_{p}\) dual curvature measures
- A probabilistic approach to the geometry of the \(\ell^n_p\)-ball
- Gauss curvature flow: The fate of the rolling stones
- The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas
- Deforming a convex hypersurface with low entropy by its Gauss curvature
- On the \(L_{p}\) Monge-Ampère equation
- On the \(L_p\)-Brunn-Minkowski and dimensional Brunn-Minkowski conjectures for log-concave measures
- The \(L_p\)-Brunn-Minkowski inequality for \(p<1\)
- Flow by Gauss curvature to the Aleksandrov and dual Minkowski problems
- Nonuniqueness of solutions to the \(L_p\)-Minkowski problem
- On the uniqueness of \(L_p\)-Minkowski problems: the constant \(p\)-curvature case in \(\mathbb{R}^3\)
- Bounds for the gamma function
- Cone-volume measures of polytopes
- On the \(L_{p}\) Minkowski problem for polytopes
- The \(L_p\)-Minkowski problem and the Minkowski problem in centroaffine geometry
- Hölder continuity for support measures of convex bodies
- Remarks on the conjectured log-Brunn-Minkowski inequality
- Flow by powers of the Gauss curvature
- Equivalence of the local and global versions of the \(L^p\)-Brunn-Minkowski inequality
- Relative entropy of cone measures and L p centroid bodies
- Ehrhart Polynomials and Successive Minima
- The surface measure and cone measure on the sphere of ℓ_{𝑝}ⁿ
- Volume Ratios and a Reverse Isoperimetric Inequality
- Shapes of worn stones
- On the regularity of the solution of then-dimensional Minkowski problem
- The logarithmic Minkowski problem for non-symmetric measures
- Real Analysis and Probability
- Invariances in variance estimates
- The volume product of convex bodies with many hyperplane symmetries
- The logarithmic Minkowski problem
- On the Local Version of the Log-Brunn–Minkowski Conjecture and Some New Related Geometric Inequalities
- Log-Brunn-Minkowski inequality under symmetry
- Mass transportation functionals on the sphere with applications to the logarithmic Minkowski problem
- Infinitely Many Solutions for Centro-affine Minkowski Problem
- On a convexity property of sections of the cross-polytope
- Convex Bodies The Brunn-MinkowskiTheory
- Volume inequalities for isotropic measures
- The Weyl and Minkowski problems in differential geometry in the large