A Note on Some Poincaré Inequalities on Convex Sets by Optimal Transport Methods
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Publication:2832788
DOI10.1007/978-3-319-41538-3_4zbMath1349.39041arXiv1601.00281OpenAlexW2963344157MaRDI QIDQ2832788
Filippo Santambrogio, Lorenzo Brasco
Publication date: 14 November 2016
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1601.00281
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Functional inequalities, including subadditivity, convexity, etc. (39B62)
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Monotonicity with respect to \(p\) of the first nontrivial eigenvalue of the \(p\)-Laplacian with homogeneous Neumann boundary conditions ⋮ Optimal spatially-dependent diffusion tensors
Cites Work
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- Local Poincaré inequalities from stable curvature conditions on metric spaces
- An optimal Poincaré inequality for convex domains
- Best constant in Sobolev trace inequalities on the half-space
- Uniqueness of the solution to the Vlasov--Poisson system with bounded density
- Weak curvature conditions and functional inequalities
- Some applications of mass transport to Gaussian-type inequalities
- A convexity principle for interacting gases
- A mass-transportation approach to sharp Sobolev and Gagliardo-Nirenberg inequalities.
- A note on the Poincaré inequality for convex domains
- Balls have the worst best Sobolev inequalities
- Geometric inequalities via a general comparison principle for interacting gases
- A remark on optimal weighted Poincaré inequalities for convex domains
- A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
- Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
- Balls have the worst best Sobolev inequalities. II: Variants and extensions
- A MACROSCOPIC CROWD MOTION MODEL OF GRADIENT FLOW TYPE
- An optimal Poincaré inequality in $L^1$ for convex domains
- Best constants in Poincar\'e inequalities for convex domains
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