Research
Prof. Alessio Figalli works in the broad areas of Calculus of
Variations and Partial Differential Equations, with particular emphasis on optimal transportation, Monge-Ampère equations, functional and geometric inequalities, elliptic PDEs of local and non-local type, free boundary problems, Hamilton-Jacobi equations, transport equations with rough vector-fields, and random matrix theory. For a description, click here
For a list of Selected Papers, click here
For a list of all his publications, you can follow the links below:
Published/Accepted Papers
Submitted Papers
Surveys and lecture notes
Books
Research areas
For a list of publications divided into research areas, you can click on the links below.
- General optimal transport theory
- Regularity of optimal maps and Monge-Ampère equations
- Optimal transport and Riemannian geometry
- Evolution equations and gradient flows
- Functional and geometric inequalities
- Transport equations
- Free boundary problems
- Non-local energies and elliptic operators
- Calculus of Variations
- Elliptic PDEs
- Sets of finite perimeter and geometric mesure theory
- Dynamical systems, weak KAM, and sympletic geometry
- Stochastic analysis and random matrices