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math.SP2026
New Qualitative and Quantitative Estimates for Neumann Eigenvalues toward Pólya's Conjecture
Xiang He, Renjin Jiang, Fanghua Lin +1
We introduce the Enhanced Neumann Pólya inequality, which is stronger than Pólya's conjecture, and verify it for many classes of domains, including strip-tiling domains, Euclidean…
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 is negative, t…