Multi-valued solutions to Hessian equations

作者:Dai, Limei; Bao, Jiguang*
来源:Nodea-Nonlinear Differential Equations and Applications, 2011, 18(4): 447-457.
DOI:10.1007/s00030-011-0103-8

摘要

In this paper, we use the Perron method to prove the existence of bounded multi-valued viscosity solutions to Hessian equations and interior Lipschitz continuity of the multi-valued solutions.