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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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