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On existence and uniqueness of viscosity solutions to obstacle problems for a class of second order partial differential equations

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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 .

Keywords: uniqueness viscosity; solutions obstacle; viscosity solutions; existence uniqueness; obstacle problems

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2019

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