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arXiv · 2609.00743

Lp Brunn-Minkowski inequality for the eigenvalue of generalized Monge-Amp\`ere equation

Yuxiao Yan·Feida Jiang
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Abstract

We investigate the eigenvalue of a generalized Monge-Amp\`ere equation. We proved that the eigenvalue of the equation on the Lp Minkowksi addition of two convex bodies satisfies the Lp Brunn-Minkowski inequality.

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Yuxiao Yan, Feida Jiang. 2026-09-01. Lp Brunn-Minkowski inequality for the eigenvalue of generalized Monge-Amp\`ere equation. https://arxiv.org/abs/2609.00743

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