Yanyang Li

most citedPrimitive sets and von Mangoldt chains: ErdÅs Problem #1196 and beyond

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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…

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