4 citations · 4 across the 2 of their papers we have counts for
6 papers
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…
Fully anisotropic elliptic problems with minimally integrable data
Angela Alberico, Iwona Chlebicka, Andrea Cianchi +1
We investigate nonlinear elliptic Dirichlet problems whose growth is driven by a general anisotropic -function, which is not necessarily of power type and need not satisfy the $…
Sharp Sobolev type embeddings on the entire Euclidean space
Angela Alberico, Andrea Cianchi, Lubos Pick +1
A comprehensive approach to Sobolev-type embeddings, involving arbitrary rearrangement- invariant norms on the entire Euclidean space R^n, is offered. In particular, the optimal ta…
Estimates for fully anisotropic elliptic equations with a zero order term
Angela Alberico, Giuseppina di Blasio, Filomena Feo
Integral estimates for weak solutions to a class of Dirichlet problems for nonlinear, fully anisotropic, elliptic equations with a zero order term are obtained using symmetrization…