Fangcheng Guo — Neckpinchhttps://neckpinch.com/authors/fangcheng-guo/New arXiv papers by Fangcheng Guo, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT Isoperimetric inequalities for eigenvalues by inverse mean curvature flowhttps://neckpinch.com/papers/1602.05290/arxiv:1602.05290Wed, 17 Feb 2016 00:00:00 GMTFangcheng Guo, Guanghan Li, Chuanxi Wu — By studying the monotonicity of the first nonzero eigenvalues of Laplace and p-Laplace operators on a closed convex hypersurface Mⁿ which evolves under inverse mean curvature flow in ℝⁿ⁺¹, the isoperimetric lower bounds for both eigenvalues were founded.Mean curvature flowOther curvature flowsInverse mean curvature flowGeometric inequalitiesEigenvalues & spectrum