Contents Online
Communications in Mathematical Sciences
Volume 10 (2012)
Number 2
Multi-valued solutions to Hessian quotient equations
Pages: 717 – 733
DOI: https://dx.doi.org/10.4310/CMS.2012.v10.n2.a14
Author
Abstract
In this paper, we first use the Perron method to prove the existence of bounded multivalued viscosity solutions to Hessian quotient equations. Then we get the existence of multi-valued solutions with asymptotic behavior at infinity and infinitely valued solutions to Hessian quotient equations.
Keywords
Hessian quotient equations, multi-valued solutions, viscosity solutions
2010 Mathematics Subject Classification
35A01, 35D40, 35J25, 35J60
Published 21 December 2011