We establish the higher fractional differentiability of the solutions of a problem in divergence form of the type (Formula presented.) The main features consist in assuming that the partial map ξ→A(x,ξ) has p(x)-growth, the datum F is Besov regular and both the partial map x → A(x,ξ) and the function x → p(x) are Orlicz–Besov regular.
Besov regularity for solutions of elliptic equations with variable exponents
Giova R.
2020-01-01
Abstract
We establish the higher fractional differentiability of the solutions of a problem in divergence form of the type (Formula presented.) The main features consist in assuming that the partial map ξ→A(x,ξ) has p(x)-growth, the datum F is Besov regular and both the partial map x → A(x,ξ) and the function x → p(x) are Orlicz–Besov regular.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.
