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math.AP2026
Two-bump axisymmetric solutions of the Nirenberg problem
Yanyan Li, Luc Nguyen, Bo Wang
In this paper, we revisit the axisymmetric Nirenberg problem for certain prescribed scalar curvature functions whose critical points include the north and south poles and whose ord…
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 Lipschitz boundary in . More precisely, among all bounded Lipschitz domains of fixed volume, the ba…