Some integral inequalities on weighted Riemannian manifolds with boundary-Reference-Cited by-同舟云学术

Some integral inequalities on weighted Riemannian manifolds with boundary

Published:2023-06-16 Issue:11 Volume:151 Page:4961-4970
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Huang Guangyue,Zhu Mingfang

Abstract

In this paper, we continue to study some applications with respect to a Reilly type integral formula associated with the ϕ \phi -Laplacian. Some inequalities of Brascamp-Lieb type and Colesanti type are provided.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/proc/2023-151-11/S0002-9939-2023-16479-5/S0002-9939-2023-16479-5.pdf

Reference13 articles.

1. Diffusions hypercontractives;Bakry, D.,1985

2. G. Y. Huang, B. Q. Ma, and M. F. Zhu, A Reilly type integral formula and its applications, arXiv:2201.09439, 2022.

3. Gradient estimates and entropy formulae of porous medium and fast diffusion equations for the Witten Laplacian;Huang, Guangyue;Pacific J. Math.,2014

4. De Lellis-Topping type inequalities for 𝑓-Laplacians;Huang, Guangyue;Studia Math.,2016

5. Sharp bounds for the first nonzero Steklov eigenvalues for 𝑓-Laplacians;Huang, Guangyue;Turkish J. Math.,2016

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