Some integral inequalities on weighted Riemannian manifolds with boundary

DOI10.1090/proc/16479zbMath1527.58006arXiv2202.04362OpenAlexW4361200743MaRDI QIDQ6095827

Guangyue Huang, Ming-Fang Zhu

Publication date: 8 September 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.04362

zbMATH Keywords

integral inequalitiesweighted Riemannian manifoldsReilly type formula, Brascamp-Lieb type inequality, Colesanti-type inequality

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Boundary value problems on manifolds (58J32)

Related Items (1)

Estimates for the first eigenvalue of diffusion-type operators in weighted manifolds

Cites Work

• Unnamed Item
• Boundary effect of Ricci curvature
• A Minkowski type inequality in space forms
• Comparison geometry for the Bakry-Emery Ricci tensor
• Brascamp-Lieb-type inequalities on weighted Riemannian manifolds with boundary
• \(f\)-minimal surface and manifold with positive \(m\)-Bakry-Émery Ricci curvature
• An integral formula and its applications on sub-static manifolds
• Gradient estimates and entropy formulae of porous medium and fast diffusion equations for the Witten Laplacian
• Liouville theorems for symmetric diffusion operators on complete Riemannian manifolds
• De Lellis–Topping type inequalities for $f$-Laplacians
• Sharp bounds for the first nonzero Steklov eigenvalues for$f$-Laplacians
• Poincaré and Brunn-Minkowski inequalities on the boundary of weighted Riemannian manifolds

This page was built for publication: Some integral inequalities on weighted Riemannian manifolds with boundary