Parabolic Hessian Quotient Equation in Exterior Domain-Reference-Cited by-同舟云学术

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Parabolic Hessian Quotient Equation in Exterior Domain

Published:2024-07-07 Issue:13 Volume:12 Page:2132
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Zhao Huawei¹,Dai Limei¹

Affiliation:

1. Weifang University, Weifang 261061, China

Abstract

This study mainly focuses on the parabolic Hessian quotient equation in the exterior domain. The existence and uniqueness of generalized parabolically symmetric solutions with generalized asymptotic behavior are proven using Perron’s method.

Publisher

MDPI AG

Link

https://www.mdpi.com/2227-7390/12/13/2132/pdf

Reference18 articles.

1. A generalization of a theorem by Calabi to the parabolic Monge-Ampère equation;Huang;Indiana Univ. Math. J.,1998

2. On Jörgens, Calabi, and Pogorelov type theorem and isolated singularities of parabolic Monge—Ampère equations;Xiong;J. Differ. Equ.,2011

3. Asymptotic behavior on a kind of parabolic Monge–Ampère equation;Wang;J. Differ. Equ.,2015

4. An extension of Jörgens–Calabi–Pogorelov theorem to parabolic Monge–Ampère equation;Zhang;Calc. Var. Partial. Differ. Equ.,2018

5. Exterior problems for a parabolic Monge–Ampère equation;Dai;Nonlinear Anal.,2014

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