4 papers
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…
Boundedness of solutions to Dirichlet, Neumann and Robin problems for elliptic equations in Orlicz spaces
Giuseppina Barletta, Andrea Cianchi, Greta Marino
Boundary value problems for second-order elliptic equations in divergence form, whose nonlinearity is governed by a convex function of non-necessarily power type, are considered. T…
Global Schauder estimates for the -Laplace system
Dominic Breit, Andrea Cianchi, Lars Diening +1
An optimal first-order global regularity theory, in spaces of functions defined in terms of oscillations, is established for solutions to Dirichlet problems for the -Laplace equ…
Canceling effects in higher-order Hardy-Sobolev inequalities
Andrea Cianchi, Norisuke Ioku
A classical first-order Hardy-Sobolev inequality in Euclidean domains, involving weighted norms depending on powers of the distance function from their boundary, is known to hold f…