Found 2 relevant results in 1.23s where lecturer="Marco Badran"
The focus of this class is on Direct Methods in the Calculus of Variations. We will address the following topics:1) existence of minimizers to classical variational problems;2) regularity of minimizers to scalar and vectorial problems;3) regularity theory for elliptic PDEs with measurable and smooth coefficients.
In this class, we will cover some of the most widely used techniques for tackling nonlinear problems in analysis, specifically in the context of partial differential equations (PDEs). We will explore variational methods, with an emphasis on the min-max technique, perturbation methods, and topological methods such as degree theory.