2 papers
math.AP2025
Discarding Lavrentiev's Gap in Non-autonomous and Non-Convex Variational Problems
MichaÅ Borowski, Pierre Bousquet, Iwona Chlebicka +2
We establish that the Lavrentiev gap between Sobolev and Lipschitz maps does not occur for a scalar variational problem of the form: \[ \textrm{to minimize} \qquad u \mapsto \int_Î…
math.AP2024
Interacting phase fields yielding phase separation on surfaces
Benjamin Lledos, Roberta Marziani, Heiner Olbermann
In the present article we study diffuse interface models for two-phase biomembranes. We will do so by starting off with a diffuse interface model on defined by two c…