New trends in free boundary problems
Analysis of PDEs
2017-01-30 v1
Abstract
We present a series of recent results on some new classes of free boundary problems. Differently from the classical literature, the problems considered have either a "nonlocal" feature (e.g., the interaction or/and the interfacial energy may depend on global quantities) or a "nonlinear" flavor (namely, the total energy is the nonlinear superposition of energy components, thus losing the standard additivity and scale invariances of the problem).
Cite
@article{arxiv.1701.07897,
title = {New trends in free boundary problems},
author = {Serena Dipierro and Aram Karakhanyan and Enrico Valdinoci},
journal= {arXiv preprint arXiv:1701.07897},
year = {2017}
}