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Existence and boundary behavior of solutions of Hessian equations with singular right-hand sides

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Abstract In this paper, we establish the existence of viscosity solutions of Hessian equations with singular right-hand sides and obtain the asymptotic boundary behavior of solutions. The asymptotic results generalize… Click to show full abstract

Abstract In this paper, we establish the existence of viscosity solutions of Hessian equations with singular right-hand sides and obtain the asymptotic boundary behavior of solutions. The asymptotic results generalize those for Poisson equations and Monge-Ampere equations, and are more precise than obtained from Hopf lemma.

Keywords: solutions hessian; hessian equations; hand sides; equations singular; right hand; singular right

Journal Title: Journal of Functional Analysis
Year Published: 2019

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