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math.SP2026
Strictly Convex Steklov-Isospectral Plane Domains
Tao Hu, Jiachen Shi, Quanyu Tang
We construct pairs of noncongruent bounded Euclidean plane domains with identical Steklov spectra, including multiplicities. This gives a negative answer to the planar Steklov anal…
math.SP2026
A proof of the Ashbaugh--Benguria conjecture for reciprocal sums of Neumann eigenvalues
Yixin He, Yanyang Li, Quanyu Tang
We prove the Ashbaugh--Benguria conjecture for bounded domains with smooth boundary in . More precisely, among all smooth bounded domains of fixed volume, the ball min…