4 citations · 5 across the 4 of their papers we have counts for
4 papers
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 work…
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 singular…
Twisted Harnack inequality and approximation of variational problems with a convexity constraint by singular Abreu equations
Nam Q. Le
We show in all dimensions that minimizers of variational problems with a convexity constraint, which arise from the Rochet-Choné model with a quadratic cost in the monopolist's pro…
Singular Abreu equations and linearized Monge-Ampère equations with drifts
Young Ho Kim, Nam Q. Le, Ling Wang +1
We study the solvability of singular Abreu equations which arise in the approximation of convex functionals subject to a convexity constraint. Previous works established the solvab…