Towards a Liouville theorem for continuous viscosity solutions to fully nonlinear elliptic equations in conformal geometry

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 (non-uniformly) elliptic equations when one of the competitors is $C^{1,1}$. We obtain as a consequence a Liouville theore...

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Bibliographic Details
Main Authors: Li, Y, Nguyen, L, Wang, B
Other Authors: Chen, J
Format: Book section
Language:English
Published: Springer 2020