Our research is on nonlinear PDE, optimal transport, optimal control, and the calculus of variations. The problems we study have applications in physics (continuum mechanics), economics (mean field game theory) and machine learning (high-dimensional optimization methods), and also contribute to the pure mathematical fields of analysis, probability and PDE.
- Variations of Deformations with Self-Contact on Lipschitz Domains (2018)
Set-Valued and Variational Analysis,
- Injectivity and self-contact in second-gradient nonlinear elasticity (2017)
Calculus of Variations and Partial Differential Equations, 56,
- Optimal Stopping with a Probabilistic Constraint (2017)
Journal of Optimization Theory and Applications, 175 (3), 795--817