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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.AP2019
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…
math.AP2012★ 15 cited
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…