5 citations · 7 across the 3 of their papers we have counts for
3 papers
math.AP2018
Measure Upper Bounds of Nodal Sets of Robin Eigenfunctions
Fang Liu, Long Tian, Xiaoping Yang
In this paper, we obtain the upper bounds for the Hausdorff measures of nodal sets of eigenfunctions with the Robin boundary conditions, i.e., \begin{equation*} {\left\{\begin{arra…
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★ 2 cited
Measure Upper Bounds for Nodal Sets of Eigenfunctions of the bi-Harmonic Operator
Long Tian, Xiaoping Yang
In this article, we consider eigenfunctions of the bi-harmonic operator, i.e., on with some homogeneous linear boundary conditions. We assume that $Ω\su…