From the 1 of 4 linked papers with an AI index.
4 papers
On the absence of point defects in biaxial Landau--de Gennes models
Haotong Fu, Huaijie Wang, Wei Wang +1
We study local minimizers of a sextic-potential Landau--de Gennes energy for nematic liquid crystals in the small-elastic-constant limit. Under the uniform energy and bo…
Existence of weak solutions for two-phase matrix-valued harmonic map flows
Wei Wang, Zhifei Zhang
The paper proves the existence of weak solutions for a two‑phase matrix‑valued harmonic map flow, using a time‑discretized minimizing‑movement scheme linked to a prescribed interfa…
Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity
Wei Wang, Zhifei Zhang
In this paper, we study the stationary solutions of semilinear elliptic equation with singular nonlinearity where $…
Quantitative stratification and sharp regularity estimates for supercritical semilinear elliptic equations
Haotong Fu, Wei Wang, Zhifei Zhang
In this paper, we investigate the interior regularity theory for stationary solutions of the supercritical nonlinear elliptic equation $$ -Îu=|u|^{p-1}u\quad\text{in }Ω,\quad p>\…