On the equality case in the Brunn-Minkowski inequality for the Monge-Ampère eigenvalue
Abstract
We characterize the equality case in the Brunn-Minkowski inequality for the Monge-Ampère eigenvalue of general bounded convex domains. This together with the author's previous work completely resolves a question raised by Salani (A Brunn-Minkowski inequality for the Monge-Ampère eigenvalue. Adv. Math. 194 (2005)).
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