Deadline: 21 jan 2026

The aim of the project is to develop the regularity theory for critical points of elliptic geometric variational functionals. Such a functional acts on embedded manifolds M by integrating a certain Lagrangian F over a tangent bundle of M. Critical points are F-stationary varifolds. We study the properties of Lagrangians satisfying the atomic condition (AC), defined by Guido De Philippis, Antonio De Rosa, and Francesco Ghiraldin in their 2020 paper, which implies ellipticity of the functional. Furthermore, we are interested in the concept of ‘principal curvatures’ and the second fundamental form in an anisotropic setting, as well as the relationship between these concepts and the variationally defined anisotropic mean curvature. The aim of the project is also to extend Allard's results from his 1986 paper to higher codimensions.

Project no. 202246EST100328

• EURAXESS
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