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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…
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…