Communications in Mathematical Sciences
Volume 10 (2012)
Multi-valued solutions to Hessian quotient equations
Pages: 717 – 733
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.
Hessian quotient equations, multi-valued solutions, viscosity solutions
2010 Mathematics Subject Classification
35A01, 35D40, 35J25, 35J60