8 papers
Critical -Laplace equations with monotone coefficients: Liouville classification and a Schoen-type Harnack inequality
Yi Ru-Ya Zhang
We investigate positive weak solutions of the critical -Laplace equation where is a positive, bounded, continuous, and nonin…
An anisotropic Serrin's problem in general domains
Alessio Figalli, Yi Ru-Ya Zhang
Serrin's symmetry theorem shows that the classical overdetermined torsion problem forces the domain to be a ball. Extending this rigidity statement to merely Lipschitz (and more ge…
A Pohozaev-type neck proof of a conditional Harnack inequality in the critical -Laplacian setting
Guolin Qin, Yi Ru-Ya Zhang
We prove a conditional Schoen-type Harnack inequality for positive weak solutions of the critical -Laplace equation under a global critical Sobo…
A decoupled energy-stable mixed finite element method for Poisson-Nernst-Planck-Navier-Stokes equations
Yanmei Peng, Ying Yang, Yi Zhang
We propose a novel linearized mixed finite element method for the Poisson-Nernst-Planck-Navier-Stokes (PNPNS) system. Specifically, the method combines a staggered time discretizat…
Bounded Continuous weak quasiregular mappings that fail to be quasiregular
Stanislav Hencl, Yi Ru-Ya Zhang
We show that, in dimensions , continuity and boundedness do not restore the Sobolev regularity conjecture of Iwaniec and Martin for weakly quasiregular mappings below the…
Global regularity and free boundary geometry in the planar Choné-Rochet model
Shibing Chen, Alessio Figalli, Yi Ru-Ya Zhang
In this paper, we study minimizers of the Choné--Rochet variational problem in dimension two. We first establish global regularity on arbitrary bounded convex domains, and t…