Non Linear Partial Differential Equations

Deepen a modern study of the field of partial differential equations in a nonlinear context by way of techniques based on maximum principles for obtaining pointwise information.

Using techniques based on maximum principles, being able to treat questions of existence, uniqueness and qualitative properties for nonlinear partial differential equations of interest for geometric problems such as equations of prescribed curvature and minimal surfaces and for physical problems such as potential flows and optimal transport. Acquisition of the ability to read and present modern literature in the field.