4 citations · 4 across the 8 of their papers we have counts for
12 papers
Fractional Orlicz-Sobolev embeddings into Campanato type spaces
Angela Alberico, Andrea Cianchi, Luboš Pick +1
Optimal embeddings for fractional Orlicz-Sobolev spaces into (generalized) Campanato spaces on the Euclidean space are exhibited. Embeddings into vanishing Campanato spaces are als…
On the modulus of continuity of fractional Orlicz-Sobolev functions
Angela Alberico, Andrea Cianchi, Luboš Pick +1
Necessary and sufficient conditions are presented for a fractional Orlicz-Sobolev space on $\rn$ to be continuously embedded into a space of uniformly continuous functions. The opt…
Boundedness of functions in fractional Orlicz-Sobolev spaces
Angela Alberico, Andrea Cianchi, Luboš Pick +1
A necessary and sufficient condition for fractional Orlicz-Sobolev spaces to be continuously embedded into is exhibited. Under the same assumption, any func…
On the limit as of fractional Orlicz-Sobolev spaces
Angela Alberico, Andrea Cianchi, Luboš Pick +1
An extended version of the Maz'ya-Shaposhnikova theorem on the limit as of the Gagliardo-Slobodeckij fractional seminorm is established in the Orlicz space setting. Our…
Fractional Orlicz-Sobolev embeddings
Angela Alberico, Andrea Cianchi, Luboš Pick +1
The optimal Orlicz target space is exhibited for embeddings of fractional-order Orlicz-Sobolev spaces in . An improved embedding with an Orlicz-Lorentz target space, w…
An eigenvalue problem for the anisotropic -Laplacian
A. Alberico, G. di Blasio, F. Feo
We study an eigenvalue problem involving a fully anisotropic elliptic differential operator in arbitrary Orlicz-Sobolev spaces. The relevant equations are associated with constrain…