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Variations of a class
of Monge–Ampère-type functionals and their applications
Haodi Chen, Shibing Chen and Qi-Rui Li |
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Vol. 14 (2021), No. 3, 689–716
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Abstract |
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We study a class of Monge–Ampère-type functionals arising from the dual Minkowski problem in convex geometry. As an application, we obtain some existence and nonuniqueness results for the problem. |
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Keywords
Minkowski-type problems, Monge–Ampére-type functionals,
second variation, stability, nonuniqueness
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Mathematical Subject Classification 2010
Primary: 35J20, 35J96
Secondary: 52A40
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Milestones
Received: 14 October 2018
Revised: 24 September 2019
Accepted: 2 December 2019
Published: 18 May 2021
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Authors |
| Haodi Chen | |
| Centre for Mathematics and Its
Applications The Australian National University Canberra Australia |
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| Shibing Chen | |
| School of Mathematical
Sciences University of Science and Technology of China Hefei China |
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| Qi-Rui Li | |
| School of Mathematical
Sciences Zhejiang University Hangzhou China |
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