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math.AP2024
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 $ n\…
math.AP2024
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 $$ -Δu=|u|^{p-1}u\quad\text{in }Ω,\quad p>\fr…
math.AP2024
Landau-de Gennes model with sextic potentials: asymptotic behavior of minimizers
Wei Wang, Zhifei Zhang
We study a class of Landau-de Gennes energy functionals with a sextic bulk energy density in a three-dimensional domain. We examine the asymptotic behavior of uniformly bounded min…