Research in the Nonlinear Analysis Unit is in theoretical mathematics, where our broad goal is to refine, develop, improve, and discover tools to analyze and understand the world we live in. The basis of this investigation is the study of measurable quantities and the relationships between them, while in particular we are interested in the now classical paradigms developed in the calculus of variations and partial differential equations, and especially in their connections with harmonic analysis and geometric measure theory.
- Calculus of Variations
- Harmonic Analysis
- Partial Differential Equations
- Geometric Measure Theory