A Heintze-Karcher inequality with free boundaries and applications to capillarity theory

Geometric Analysis and Application
Event time: 
Friday, March 10, 2023 - 2:00pm
LOM 215
Daniel Weser
Speaker affiliation: 
University of Texas, Austin
Event description: 

 In volume-constrained capillarity problems, minimizers may have free boundaries adhering to the container. Recent work in the study of capillarity problems has utilized stability theory for the volume-constrained isoperimetric problem to classify the shape of global minimizers and (in the case without free boundary) critical points. In this talk, I will discuss joint work with Matias Delgadino extending this program to classifying the shape of local minimizers in the presence of free boundaries.