During the seminar, we will introduce a stronger version of the quantitative isoperimetric inequality, originally developed by Fusco and Julin. Building on that, we will arrive to the analogous inequality for a capillarity problem. The central theme of the seminar is the so-called selection-principle, that is based on the regularity theory for the perimeter functional. We will also highlight the difficulties that arise when we apply Fusco and Julin's method to our situation. This result is part of an ongoing collaboration with Giulio Pascale and Marco Pozzetta.
A strong quantitative isoperimetric inequality for a capillarity problem
11.06.2025 11:30 - 12:30
Organiser:
T. Körber, A. Molchanova, F. Rupp
Location: