activity
20132026
most citedCritical points of solutions for mean curvature equation in strictly convex and nonconvex domains

5 citations · 6 across the 8 of their papers we have counts for

collaborators

9 papers

eess.AS2026

The NPU-ASLP System for Music Restoration in the CCF-AATC 2026 Challenge

Zeyu Zhu, Yike Zhu, Xingchen Li +6

This paper presents the NPU-ASLP music restoration system developed for Track 1 of the China Computer Federation (CCF) Advanced Audio Technology Competition (AATC) 2026 Challenge.…

math.AP2023

Measure upper bounds of nodal sets of solutions to Dirichlet problem of Schrödinger equations

Hairong Liu, Long Tian, Xiaoping Yang

In this paper, we focus on estimating measure upper bounds of nodal sets of solutions to the following boundary value problem \begin{equation*} \left\{ \begin{array}{lll} Δu+Vu=0\q…

math.AP2023

On the number and geometric location of critical points of solutions to a semilinear elliptic equation in annular domains

Haiyun Deng, Hairong Liu, Xiaoping Yang

In this paper, one of our aims is to investigate the instability of the distribution of the critical point set of a solution to a semilinear equation with Diri…

math.AP2023

Strong unique continuation property for fourth order Baouendi-Grushin type subelliptic operators with strongly singular potential

Hairong Liu, Xiaoping Yang

In this paper, we prove the strong unique continuation property for the following fourth order degenerate elliptic equation \begin{equation*} Δ^2_{X}u=Vu, \end{equation*} where $Δ_…

math.AP2023

Quantitative unique continuation property for solutions to a bi-Laplacian equation with a potential

Hairong Liu, Long Tian, Xiaoping Yang

In this paper, we focus on the quantitative unique continuation property of solutions to \begin{equation*} Δ^2u=Vu, \end{equation*} where . We show that the maxi…

math.AP2018

Critical points of solutions to a kind of linear elliptic equations in multiply connected domains

Haiyun Deng, Hairong Liu, Xiaoping Yang

In this paper, we mainly study the critical points and critical zero points of solutions to a kind of linear elliptic equations with nonhomogeneous Dirichlet boundary condition…

math.AP2017★ 5 cited

Critical points of solutions for mean curvature equation in strictly convex and nonconvex domains

Haiyun Deng, Hairong Liu, Long Tian

In this paper, we mainly investigate the set of critical points associated to solutions of mean curvature equation with zero Dirichlet boundary condition in a strictly convex domai…

math.AP2017★ 1 cited

Critical points of solutions to a quasilinear elliptic equation with nonhomogeneous Dirichlet boundary conditions

Haiyun Deng, Hairong Liu, Long Tian

In this paper, we mainly investigate the critical points associated to solutions of a quasilinear elliptic equation with nonhomogeneous Dirichlet boundary conditions in a conne…

math.AP2013

A mean value formula of sub-p-Laplace parabolic equations on the Heisenberg group

Hairong Liu, Xiaoping Yang

We derive two equivalent definitions of the viscosity solutions to the homogeneous sub-p- Laplace parabolic equations on the Heisenberg group, and characterize the viscosity soluti…