Global Hölder regularity for the fractional p-Laplacian

IANNIZZOTTO, ANTONIO;
2016-01-01

Abstract

By virtue of barrier arguments we prove Cα-regularity up to the boundary for the weak solutions of a non-local, non-linear problem driven by the fractional p-Laplacian operator. The equation is boundedly inhomogeneous and the boundary conditions are of Dirichlet type. We employ different methods according to the singular (p < 2) of degenerate (p > 2) case.
2016
Inglese
REVISTA MATEMATICA IBEROAMERICANA
32
4
1353
1392
40
WOS:000396486200013
2-s2.0-85006953017
http://www.ems-ph.org/journals/show_abstract.php?issn=0213-2230&vol=32&iss=4&rank=13
Esperti anonimi
internazionale
scientifica
Fractional p-Laplacian, Fractional Sobolev spaces, Global Hölder regularity
no
Iannizzotto, Antonio; Sunra, Mosconi; Marco, Squassina
1.1 Articolo in rivista
info:eu-repo/semantics/article
1 Contributo su Rivista::1.1 Articolo in rivista
262
3
reserved
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