Calculus of Variations and Geometric Measure Theory

1-year postdoc in Geometric Analysis at University of Trento

created by mazzieri on 16 Oct 2023

Deadline: 16 nov 2023

The aim of this research is to enhance our comprehension of geometric partial differential equations and their connection to the underlying curvature assumptions. Firstly, we intend to explore the relationship between the level-set flow of p-harmonic functions, the torsion problem with Dirichlet boundary data, and the Mean Curvature Flow. Secondly, we aim to study monotonicity formulas, with the dual objective of refining our understanding of existing formulas, deriving new geometric and functional inequalities on one hand, and on the other, exploring the existence of genuinely new monotonicity formulas.