Haiqi Zhang

collaborators

3 papers

math.AP2026

Sharp ratios for low-index Neumann eigenvalues on convex domains

Quanyu Tang, Haiqi Zhang

Let $I^c ◯ \subset R^{N}$ be a bounded open convex set, and let $0 = I^¼_{0} (I^c ◯) < I^¼_{1} (I^c ◯) \leq I^¼_{2} (I^c ◯) \leq \dots$ be the Neumann eigenvalues of the Laplacian, repeated according to mult…

math.AP2026

The Ashbaugh--Benguria reciprocal-gap conjecture for Dirichlet eigenvalues

Yanyang Li, Quanyu Tang, Haiqi Zhang

We prove the Ashbaugh--Benguria reciprocal-gap conjecture for the Dirichlet Laplacian in every dimension $N \geq 2$ . Specifically, if $I^c ◯ \subset R^{N}$ is a bounded domain and $$…

math.AP2026

A sharp fixed-volume product inequality for the first $N$ nonzero Steklov eigenvalues

Haiqi Zhang, Quanyu Tang, Yanyang Li

We prove a sharp fixed-volume product inequality for the first $N$ nonzero Steklov eigenvalues of bounded Lipschitz domains in $R^{N}$ . More precisely, if $N \geq 2$ and $Î©\sub…

Sharp ratios for low-index Neumann eigenvalues on convex domains

The Ashbaugh--Benguria reciprocal-gap conjecture for Dirichlet eigenvalues

A sharp fixed-volume product inequality for the first N nonzero Steklov eigenvalues

A sharp fixed-volume product inequality for the first $N$ nonzero Steklov eigenvalues