A Note About the Strong Maximum Principle on RCD Spaces
From MaRDI portal
Publication:5377452
DOI10.4153/CMB-2018-022-9zbMath1418.31014arXiv1706.01998MaRDI QIDQ5377452
Publication date: 24 May 2019
Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.01998
Related Items (5)
Monotonicity formulas for harmonic functions in \(\mathrm{RCD}(0,N)\) spaces ⋮ The rigidity of sharp spectral gap in non-negatively curved spaces ⋮ Stability of Sobolev inequalities on Riemannian manifolds with Ricci curvature lower bounds ⋮ Isometric immersions of \(\mathrm{RCD}(K, N)\) spaces via heat kernels ⋮ Inscribed radius bounds for lower Ricci bounded metric measure spaces with mean convex boundary
Cites Work
- Unnamed Item
- Optimal maps and exponentiation on finite-dimensional spaces with Ricci curvature bounded from below
- A PDE approach to nonlinear potential theory in metric measure spaces
- Local Poincaré inequalities from stable curvature conditions on metric spaces
- Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds
- An overview of the proof of the splitting theorem in spaces with non-negative Ricci curvature
- On the equivalence of the entropic curvature-dimension condition and Bochner's inequality on metric measure spaces
- Nonlinear potential theory on metric spaces
- Optimal maps in non branching spaces with Ricci curvature bounded from below
- Differentiability of Lipschitz functions on metric measure spaces
- Second order differentiation formula on \(\mathsf{RCD}(K,N)\) spaces
- On quotients of spaces with Ricci curvature bounded below
- Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
- Transport maps, non-branching sets of geodesics and measure rigidity
- Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below
- Metric measure spaces with Riemannian Ricci curvature bounded from below
- On the measure contraction property of metric measure spaces
- On the geometry of metric measure spaces. II
- Non-branching geodesics and optimal maps in strong \(CD(K,\infty)\)-spaces
- On the differential structure of metric measure spaces and applications
- An overview of L1 Optimal Transportation on metric measure spaces
- Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces
- Optimal maps in essentially non-branching spaces
- A Remark on Linear Elliptic Differential Equations of Second Order
- Optimal Transport
This page was built for publication: A Note About the Strong Maximum Principle on RCD Spaces