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Akademický článek

Some almost-Schur type inequalities and applications on sub-static manifolds

Autor: Fanqi Zeng

Publikováno v: Electronic Research Archive, Vol 30, Iss 8, Pp 2860-2870 (2022)

In this paper, we establish some almost-Schur type inequalities on sub-static manifolds, naturally arising in General Relativity. In particular, our results generalize those in [1] of Li-Xia for r-th mean curvatures of closed sub-static hypersurfaces

Externí odkaz: https://doaj.org/article/8ac3d7e3ad044dfea05b694b4823020c

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Akademický článek

Hamilton type gradient estimates for a general type of nonlinear parabolic equations on Riemannian manifolds

Autor: Fanqi Zeng

Publikováno v: AIMS Mathematics, Vol 6, Iss 10, Pp 10506-10522 (2021)

$ (\Delta_{V}-q(x, t)-\partial_{t})u(x, t) = A(u(x, t)) $ on complete Riemannian manifold (with fixed metric). When $ V = 0 $ and the metric evolves under the geometric flow, we also derive some Hamilton type gradient estimates. Finally, as applic

Externí odkaz: https://doaj.org/article/9fd788e1c36e4a3396eae3ac057693eb

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Akademický článek

Hamilton’s gradient estimates and Liouville theorems for porous medium equations

Autor: Guangyue Huang, Ruiwei Xu, Fanqi Zeng

Publikováno v: Journal of Inequalities and Applications, Vol 2016, Iss 1, Pp 1-7 (2016)

Abstract Let ( M n , g ) $(M^{n}, g)$ be an n-dimensional Riemannian manifold. In this paper, we derive a local gradient estimate for positive solutions of the porous medium equation u t = Δ ( u p ) , 1 < p < 1 + 1 n − 1 , $$u_{t}=\Delta\bigl(u^{p

Externí odkaz: https://doaj.org/article/f29b05e3140e431ba12244bd72ef3ffa

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Akademický článek

A Reilly Type Integral Formula Associated with Diffusion-Type Operators and Its Applications.

Autor: Fanqi Zeng, Huiting Chang, Yujun Sun

Publikováno v: Journal of Mathematical Physics, Analysis, Geometry (18129471); 2024, Vol. 20 Issue 2, p250-264, 15p

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