Lewy-Stampacchia type estimates for variational inequalities driven by (non)local operators
Articolo
Data di Pubblicazione:
2013
Citazione:
Lewy-Stampacchia type estimates for variational inequalities driven by (non)local operators / R. Servadei, E. Valdinoci. - In: REVISTA MATEMATICA IBEROAMERICANA. - ISSN 0213-2230. - 29:3(2013), pp. 1091-1126. [10.4171/RMI/750]
Abstract:
The purpose of this paper is to derive some Lewy-Stampacchia estimates in some cases of interest, such as the ones driven by non-local operators. Since we will perform an abstract approach to the problem, this will provide, as a byproduct, Lewy-Stampacchia estimates in more classical cases as well. In particular, we can recover the known estimates for the standard Laplacian, the p-Laplacian, and the Laplacian in the Heisenberg group. In the non-local framework we prove a Lewy-Stampacchia estimate for a general integrodifferential operator and, as a particular case, for the fractional Laplacian. As far as we know, the abstract framework and the results in the non-local setting are new.
Tipologia IRIS:
01 - Articolo su periodico
Elenco autori:
R. Servadei, E. Valdinoci
Link alla scheda completa: