My research focus is on self-dual variational principles for partial differential equations, in particular; stochastic PDE. I am also interested in optimal mass transport; in particular, its applications in the analysis of functional inequalities.

Publications

1. A dual Moser–Onofri inequality and its extensions to higher dimensional spheres, with N. Ghoussob and M. Agueh,  Annales de la Faculté des Sciences de Toulouse, Sér. 6, 26 no. 2 (2017) p. 217-233

2. A Self-dual Variational Approach to Stochastic Partial Differential Equations, with N. Ghoussoub, Journal of Functional Analysis, In press (Submitted, October 2017)  34 pp.