15 citations · 29 across the 5 of their papers we have counts for
5 papers
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…
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…
Symmetry of hypersurfaces with ordered mean curvature in one direction
Yanyan Li, Xukai Yan, Yao Yao
For a connected -dimensional compact smooth hypersurface without boundary embedded in , a classical result of Aleksandrov shows that it must be a sphere if…
A generalized mass involving higher order symmetric function of the curvature tensor
YanYan Li, Luc Nguyen
We define a generalized mass for asymptotically flat manifolds using some higher order symmetric function of the curvature tensor. This mass is non-negative when the manifold is lo…
Harnack inequalities and Bôcher-type theorems for conformally invariant fully nonlinear degenerate elliptic equations
YanYan Li, Luc Nguyen
We give a generalization of a theorem of Bôcher for the Laplace equation to a class of conformally invariant fully nonlinear degenerate elliptic equations. We also prove a Harnack…