Calculus of variations, Sobolev spaces, and geometric measure theory

Calculus of variations, Sobolev spaces, and geometric measure theory

-
Marco Méndez, Princeton University
Fine Hall 110

We will discuss how the theory of Sobolev spaces and geometric measure theory are frameworks that arise more or less in the same way in the study of certain variational problems. I will provide some concrete examples, of which the main ones will be minimal surfaces and some elliptic PDEs.