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Guest editors: Neil Trudinger and Xu-Jia Wang (Australian National University)
Dedication
Preface
A weighted relative isoperimetric inequality in convex cones
Emanuel Indrei
pp. 1-14
Uniqueness for a system of Monge–Ampère equations
Nam Q. Le
pp. 15-30
A class of nonlinear optimisation and applications
Jiakun Liu
pp. 31-52
Weak formulation of the MTW condition and convexity properties of potentials
Grégoire Loeper and Neil S. Trudinger
pp. 53-60
Multi-marginal optimal transport on the Heisenberg group
Brendan Pass, Andrea Pinamonti, and Mattia Vedovato
pp. 67-76
Monotonicity formulae for the complex Hessian equations
Jiaxiang Wang and Bin Zhou
pp. 77-84