The Caffarelli-Kohn-Nirenberg inequality on metric measure spaces
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Publication:2663051
DOI10.1007/s00229-020-01206-1zbMath1465.53057arXiv1711.04836OpenAlexW3033142604MaRDI QIDQ2663051
Levi Rosa Adriano, Willian Tokura, Chang-Yu Xia
Publication date: 15 April 2021
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.04836
Rigidity results (53C24) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Potential theory on Riemannian manifolds and other spaces (31C12) PDEs on manifolds (35R01)
Cites Work
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- Metric measure spaces supporting Gagliardo-Nirenberg inequalities: volume non-collapsing and rigidities
- Caffarelli-Kohn-Nirenberg inequality on metric measure spaces with applications
- Hardy type inequalities on complete Riemannian manifolds
- The Gagliardo-Nirenberg inequalities and manifolds of non-negative Ricci curvature
- Sobolev type inequalities on Riemannian manifolds
- Finsler interpolation inequalities
- Best constant in Sobolev inequality
- Problèmes isoperimetriques et espaces de Sobolev
- On manifolds with non-negative Ricci curvature and Sobolev inequalities
- Mass of rays in Alexandrov spaces of nonnegative curvature
- Complete manifolds with nonnegative Ricci curvature and almost best Sobolev constant
- Volume comparison and its applications in Riemann-Finsler geometry
- On the structure of spaces with Ricci curvature bounded below. I
- Best constants for Gagliardo-Nirenberg inequalities and applications to nonlinear diffusions.
- A mass-transportation approach to sharp Sobolev and Gagliardo-Nirenberg inequalities.
- Alexandrov spaces with large volume growth
- Hardy and Rellich type inequalities on metric measure spaces
- The Caffarelli-Kohn-Nirenberg inequalities and manifolds with nonnegative weighted Ricci curvature
- Sharp constants and optimizers for a class of Caffarelli-Kohn-Nirenberg inequalities
- Ricci curvature for metric-measure spaces via optimal transport
- Vanishing and finiteness results in geometric analysis. A generalization of the Bochner technique
- The Caffarelli-Kohn-Nirenberg inequalities on complete manifolds
- On the geometry of metric measure spaces. II
- Weighted Caffarelli-Kohn-Nirenberg type inequality on the Heisenberg group
- THE GAGLIARDO-NIRENBERG INEQUALITIES AND MANIFOLDS WITH NON-NEGATIVE WEIGHTED RICCI CURVATURE
- A Volume Comparison Theorem for Manifolds with Asymptotically Nonnegative Curvature and its Applications
- Complete manifolds with non-negative Ricci curvature and the Caffarelli–Kohn–Nirenberg inequalities
- Sharp uncertainty principles on general Finsler manifolds
- Anisotropic L2-weighted Hardy and L2-Caffarelli–Kohn–Nirenberg inequalities
- Lp-Caffarelli–Kohn–Nirenberg type inequalities on homogeneous groups
- Infinitesimal Bishop-Gromov condition for Alexandrov spaces
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