2 papers
math.AP2026
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} Îu+Vu=0\…
math.AP2024
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…