The Dirichlet Problem of Hessian Equation in Exterior Domains

Hongfei Li and Limei Dai
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Hongfei Li: College of Mathematics and System Science, Shandong University of Science and Technology, Qingdao 266590, China
Limei Dai: School of Mathematics and Information Science, Weifang University, Weifang 261061, China

Mathematics, 2020, vol. 8, issue 5, 1-11

Abstract: In this paper, we will obtain the existence of viscosity solutions to the exterior Dirichlet problem for Hessian equations with prescribed asymptotic behavior at infinity by the Perron’s method. This extends the Ju–Bao results on Monge–Ampère equations det D 2 u = f ( x ) .

Keywords: exterior Dirichlet problem; asymptotic behavior; Hessian equation; viscosity solution (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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