F. Lin

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math.AP2026

Asymptotic limit for the isotropic-nematic problem with anisotropic elasticity

Fanghua Lin, Wei Wang, Zhifei Zhang

We consider the isotropic-nematic interface problem for liquid crystals based on the Landau-de Gennes model. We show that when the anisotropic elastic constant $L_{2}$ is negative, t…

math.AP2024

Riesz transform on exterior Lipschitz domains and applications

Renjin Jiang, Fanghua Lin

Let $L = - div A \nabla$ be a uniformly elliptic operator on $R^{n}$ , $n \geq 2$ . Let $I^c ◯$ be an exterior Lipschitz domain, and let $L_{D}$ and ${\math…