Peibiao Zhao

activity

20242026

collaborators

3 papers

math.DG2026

Existence of the classical solution to the fractional mean curvature flow with capillary-type boundary conditions

Linlin Fan, Peibiao Zhao

Wang, Weng and Xia[Math. Ann. 388 (2024), no. 2] studied a mean curvature type flow for the smooth, embedded capillary hypersurfaces with a constant contact angle $I^¸ \in (0, I ¨ )$ and…

math.DG2025

Legendrian curve flow in Sasakian sub-Riemannian 3-manifolds

Jingshi Cui, Peibiao Zhao

In this paper, we introduce a kind of inverse mean curvature flow (1.2) in a Sasakian sub-Riemannian 3-manifold $M$ for Legendrian curves, which slightly differs from the classical…

math.AP2024

Hopf's lemma for parabolic equations involving a generalized tempered fractional $p$ -Laplacian

Linlin Fan, Linfen Cao, Peibiao Zhao

In this paper, we study a nonlinear system involving a generalized tempered fractional $p$ -Laplacian in $B_{1} (0)$ : \begin{equation*} \left\{ \begin{array}{ll} \partial_tu(x,t)+(-Î…

Existence of the classical solution to the fractional mean curvature flow with capillary-type boundary conditions

Legendrian curve flow in Sasakian sub-Riemannian 3-manifolds

Hopf's lemma for parabolic equations involving a generalized tempered fractional p-Laplacian

Hopf's lemma for parabolic equations involving a generalized tempered fractional $p$ -Laplacian