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). The complete proofs and the full details of the results presented here are given in [17, 31, 35, 26, 28, 39].
New trends in free boundary problems / S. Dipierro, A. Karakhanyan, E. Valdinoci. - In: ADVANCED NONLINEAR STUDIES. - ISSN 1536-1365. - 17:2(2017 May), pp. 319-332.
New trends in free boundary problems
S. DipierroPrimo
;E. ValdinociUltimo
2017
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). The complete proofs and the full details of the results presented here are given in [17, 31, 35, 26, 28, 39].
| File | Dimensione | Formato | |
|---|---|---|---|
|
10.1515@ans-2017-0002.pdf
accesso riservato
Tipologia:
Publisher's version/PDF
Dimensione
1.36 MB
Formato
Adobe PDF
|
1.36 MB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
