27 citations · 66 across the 24 of their papers we have counts for
25 papers
Generic properties in free boundary problems
Xavier Fernández-Real, Hui Yu
In this work, we show the generic uniqueness of minimizers for a large class of energies, including the Alt-Caffarelli and Alt-Phillips functionals. We then prove the generic regul…
Graphical solutions to one-phase free boundary problems
Max Engelstein, Xavier Fernández-Real, Hui Yu
We study viscosity solutions to the classical one-phase problem and its thin counterpart. In low dimensions, we show that when the free boundary is the graph of a continuous functi…
Half-space solutions with frequency in the thin obstacle problem
Ovidiu Savin, Hui Yu
For the thin obstacle problem in 3d, we show that half-space solutions form an isolated family in the space of -homogeneous solutions. For a general solution with one blow-up…
Contact points with integer frequencies in the thin obstacle problem
Ovidiu Savin, Hui Yu
For the thin obstacle problem, we develop a unified approach that leads to rates of convergence to blow-up profiles at contact points with integer frequencies. For these points, we…
Positivity-preserving third order DG schemes for Poisson--Nernst--Planck equations
Hailiang Liu, Zhongming Wang, Peimeng Yin +1
In this paper, we design and analyze third order positivity-preserving discontinuous Galerkin (DG) schemes for solving the time-dependent system of Poisson--Nernst--Planck (PNP) eq…
Meromorphic functions of finite -order and linear Askey-Wilson divided difference equations
Hui Yu, Janne Heittokangas, Jun Wang +1
The growth of meromorphic solutions of linear difference equations containing Askey-Wilson divided difference operators is estimated. The -order is used as a general growth indi…