The Exterior Problem of Parabolic Hessian Quotient Equations

Huawei Zhao and Limei Dai ()
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Huawei Zhao: Weifang University, Weifang 261061, China
Limei Dai: School of Mathematics and Statistics, Weifang University, Weifang 261061, China

Mathematics, 2025, vol. 13, issue 3, 1-14

Abstract: In this paper, we investigate the exterior problem of parabolic Hessian quotient equations. By utilizing Perron’s method, we establish the existence of viscosity solutions that exhibit generalized asymptotic behavior at infinity. The main approach we adopt involves constructing sub- and supersolutions to handle the non-constant term on the right-hand side of the equation.

Keywords: exterior problem; parabolic Hessian quotient equations; Perron method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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