@inbook{88fbba047de44082a05c3e6d7339ed95,
title = "Towards a Liouville Theorem for Continuous Viscosity Solutions to Fully Nonlinear Elliptic Equations in Conformal Geometry",
abstract = "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 C1,1. We obtain as a consequence a Liouville theorem for entire solutions which are approximable by C1,1 solutions on larger and larger compact domains, and, in particular, for entire C1,1 loc solutions: they are either constants or standard bubbles.",
keywords = "Hopf Lemma, Liouville theorem, Primary 35J60, Secondary 35J70, conformal geometry, strong comparison principle, viscosity solution",
author = "Li, {Yan Yan} and Luc Nguyen and Bo Wang",
note = "Publisher Copyright: {\textcopyright} 2020, Springer Nature Switzerland AG.",
year = "2020",
doi = "10.1007/978-3-030-34953-0_11",
language = "English",
series = "Progress in Mathematics",
publisher = "Birkhauser",
pages = "221--244",
booktitle = "Progress in Mathematics",
address = "Switzerland",
}