Spadaro Lab

Sapienza University of Rome

Centro (IT) (ITI) · Italy

ERC-funded
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ERC Starting Grant · 2017

Higher Co-dimension Singularities: Minimal Surfaces and the Thin Obstacle Problem

Singular solutions to variational problems and to partial differential equations are naturally ubiquitous in many contexts, and among these minimal surfaces theory and free boundary problems are two prominent examples both for their analytical content and their physical interest. A crucial aspect in this regard is the co-dimension of the objects under consideration: indeed, many of the analytical and geometric principles which are valid for minimal hypersurfaces or regular points of the free boundary do not apply to higher co-dimension surfaces or singular free boundary points. The aim of this project is to investigate some of the most compelling questions about the singularities of two…

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