On Jörgens, Calabi, and Pogorelov type theorem and isolated singularities of parabolic Monge-Ampère equations |
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Authors: | Jingang Xiong |
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Affiliation: | School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, China |
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Abstract: | In the paper, we extend Jörgens, Calabi, and Pogorelov's theorem on entire solutions of elliptic Monge-Ampère equations to parabolic equations associated with Gauss curvature flows. Our results include Gutiérrez and Huang's previous work as a special case. Besides, we also treat the isolated singularities for parabolic Monge-Ampère equations that was firstly studied by Jörgens for elliptic case in two dimensions. |
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Keywords: | 35K55 35B45 53C44 |
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