@inbook{f42271d728f54dc599c371ac3a6c5034,

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. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",

year = "2020",

doi = "10.1007/978-3-030-34953-0_11",

language = "English (US)",

series = "Progress in Mathematics",

publisher = "Birkhauser",

pages = "221--244",

booktitle = "Progress in Mathematics",

}