2 papers
math.AP2026
On the equality case in the Brunn-Minkowski inequality for the Monge-Ampère eigenvalue
Nam Q. Le
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 wor…
math.AP2026
A Variational Approach to Degenerate Monge--Ampère Equations with Mixed Measures and Monotonicity
Nam Q. Le
We study the solvability and uniqueness for several degenerate Monge--Ampère equations including the Monge--Ampère eigenvalue problem in real Euclidean spaces that involve singul…