Vol. 266, No. 1, 2013

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Singularities and Liouville theorems for some special conformal Hessian equations

Qianzhong Ou

Vol. 266 (2013), No. 1, 117–128
Abstract

We develop some new techniques to get an integral estimate for some special conformal Hessian equations, and hence the classification of their singularities. This complete results of González. By this method we were able to deduce the Liouville theorem for these special conformal Hessian equations, which were understood by Yanyan Li via the method of moving planes.

Keywords
singularity, Liouville theorem, conformal Hessian equation
Mathematical Subject Classification 2010
Primary: 35J60
Milestones
Received: 26 August 2012
Revised: 30 December 2012
Accepted: 18 February 2013
Published: 23 September 2013
Authors
Qianzhong Ou
Department of Mathematics
Hezhou University
Hezhou, 542800
Guangxi Province
China