Fractional De Giorgi classes and applications to nonlocal regularity theory

Capitolo di libro
Data di Pubblicazione:
2019
Citazione:
Fractional De Giorgi classes and applications to nonlocal regularity theory / M. Cozzi (SPRINGER INDAM SERIES). - In: Contemporary Research in Elliptic PDEs and Related Topics / [a cura di] S. Dipierro. - [s.l] : Springer International Publishing, 2019. - ISBN 9783030189204. - pp. 277-299 [10.1007/978-3-030-18921-1_7]
Abstract:
We present some recent results obtained by the author on the regularity of solutions to nonlocal variational problems. In particular, we review the notion of fractional De Giorgi class, explain its role in nonlocal regularity theory, and propose some open questions in the subject.
Tipologia IRIS:
03 - Contributo in volume
Keywords:
Fractional De Giorgi classes; Harnack inequality; Hölder continuity; Nonlinear integral operators; Nonlocal caccioppoli inequality; Nonlocal functionals
Elenco autori:
Autori di Ateneo:
Link alla scheda completa:
https://air.unimi.it/handle/2434/734190
Titolo del libro:
Contemporary Research in Elliptic PDEs and Related Topics

Aree Di Ricerca

Settori


Settore MAT/05 - Analisi Matematica