We study a nonlocal Robin–Venttsel’-type problem for the regional fractional p-Laplacian in an extension domain Ω with boundary a d-set. We prove existence and uniqueness of a strong solution via a semigroup approach. Markovianity and ultracontractivity properties are proved. We then consider the elliptic problem. We prove existence, uniqueness and global boundedness of the weak solution.
Fractional (s,p)-Robin–Venttsel’ problems on extension domains
Simone Creo;
2021-01-01
Abstract
We study a nonlocal Robin–Venttsel’-type problem for the regional fractional p-Laplacian in an extension domain Ω with boundary a d-set. We prove existence and uniqueness of a strong solution via a semigroup approach. Markovianity and ultracontractivity properties are proved. We then consider the elliptic problem. We prove existence, uniqueness and global boundedness of the weak solution.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
