New trends in free boundary problems

Serena Dipierro, Aram Karakhanyan, Enrico Valdinoci

Research output: Working paper

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).
Original languageEnglish
Number of pages18
Publication statusPublished - 26 Jan 2017

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