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math.AP2026
Asymptotics for the -Hessian Eigenvalue on the Unit Ball
Nicholas McCleerey, Abhinav Pande, Thidas Wanasinghe
We compute the limit of the eigenvalue of the -Hessian operator on the unit ball in when , assuming that the ratio remains fixe…
math.AP2024
Regularity of the solution to a real Monge--Ampère equation on the boundary of a simplex
Rolf Andreasson, Jakob Hultgren, Mattias Jonsson +2
Motivated by conjectures in Mirror Symmetry, we continue the study of the real Monge--Ampère operator on the boundary of a simplex. This can be formulated in terms of optimal trans…