2 papers
math.AP2017
A Self-dual Variational Approach to Stochastic Partial Differential Equations
Shirin Boroushaki, Nassif Ghoussoub
Unlike many deterministic PDEs, stochastic equations are not amenable to the classical variational theory of Euler-Lagrange. In this paper, we show how self-dual variational calcul…
math.AP2015
A dual Moser-Onofri inequality and its extensions to higher dimensional spheres
Martial Agueh, Shirin Boroushaki, Nassif Ghoussoub
We use optimal mass transport to provide a new proof and a dual formula to the Moser-Onofri inequality on $\s^2$ in the same spirit as the approach of Cordero-Erausquin, Nazaret an…