Por Giovanni Pisante (Università degli Studi della Campania "Luigi Vanvitelli")

In this talk, we will discuss a recent result concerning variational problems that encompass both bulk and interface energies, which are used to describe a broad spectrum of phenomena in applied sciences. A key feature of these models is the presence of a free boundary whose regularity is intricate to establish due to the interaction between the bulk term and the perimeter term. We will present an $\varepsilon$-regularity result for almost-minimizers of a class of problems with bulk energy of Dirichlet type and surface energy exhibiting anisotropic Finsler behavior, defined by an ellipsoidal density that is Hölder continuous with respect to the position variable.

This presentation is based on joint work with L. Esposito and L. Lamberti.

Transmissão via Zoom (pw: lisbonwade).

The Lisbon Webinar in Analysis in Differential Equations is a joint iniciative of CAMGSD, CMAFcIO and GFM, three research centers of the University of Lisbon. It is aimed at filling the absence of face-to-face seminars and wishes to be a meeting point of mathematicians working in the field.