Abstract We prove the existence and uniqueness of the viscosity solutions to the obstacle problems for second order differential partial equations under some conditions. As applications, we show some existence… Click to show full abstract
Abstract We prove the existence and uniqueness of the viscosity solutions to the obstacle problems for second order differential partial equations under some conditions. As applications, we show some existence and uniqueness theorems of the viscosity solutions to the obstacle problems for k-Hessian equations, which include Monge-Ampere type equations when k = n .
               
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