27 citations · 33 across the 7 of their papers we have counts for
7 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…
The axisymmetric -Nirenberg problem
Yanyan Li, Luc Nguyen, Bo Wang
We study the problem of prescribing -curvature for a conformal metric on the standard sphere with and in axisymmetry. Compactness, n…
On the -Nirenberg problem
YanYan Li, Luc Nguyen, Bo Wang
We consider the problem of prescribing the -curvature on the standard sphere with . We prove existence and compactness theorems when . Thi…
Towards a Liouville theorem for continuous viscosity solutions to fully nonlinear elliptic equations in conformal geometry
YanYan Li, Luc Nguyen, Bo Wang
We study entire continuous viscosity solutions to fully nonlinear elliptic equations involving the conformal Hessian. We prove the strong comparison principle and Hopf Lemma for (n…
Comparison principles for some fully nonlinear subelliptic equations on the Heisenberg group
Yanyan Li, Bo Wang
In this paper, we prove a form of the strong comparison principle for a class of fully nonlinear subelliptic operators of the form on the H…
Strong Comparison Principles for Some Nonlinear Degenerate Elliptic Equations
YanYan Li, Bo Wang
In this paper, we obtain the strong comparison principle and Hopf Lemma for locally Lipschitz viscosity solutions to a class of nonlinear degenerate elliptic operators of the form…
Comparison principles and Lipschitz regularity for some nonlinear degenerate elliptic equations
YanYan Li, Luc Nguyen, Bo Wang
We establish interior Lipschitz regularity for continuous viscosity solutions of fully nonlinear, conformally invariant, degenerate elliptic equations. As a by-product of our metho…