New Trends in Free Boundary Problems

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 (namel...

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Bibliographic Details
Main Authors: Dipierro Serena, Karakhanyan Aram, Valdinoci Enrico
Format: Article
Language:English
Published: De Gruyter 2017-05-01
Series:Advanced Nonlinear Studies
Subjects:
Online Access:https://doi.org/10.1515/ans-2017-0002
Description
Summary: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).
ISSN:1536-1365
2169-0375