On the equality case in the Brunn–Minkowski inequality for the Monge–Ampère eigenvalue
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), no. 1, 67–86.).
Authors
- Nam Q. Le (ORCID: https://orcid.org/0000-0001-9266-0054)
Institutions
- Indiana University Bloomington (US)
Publication Details
- Journal
- Journal of Spectral Theory
- Published
- 2026-10-29
- DOI
- https://doi.org/10.4171/jst/638
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation