86 citations · 185 across the 36 of their papers we have counts for
6 papers · 1 filter
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…
Continuity properties of weakly monotone Orlicz-Sobolev functions
Menita Carozza, Andrea Cianchi
The notion of weakly monotone functions extends the classical definition of monotone function, that can be traced back to H.Lebesgue. It was introduced, in the setting of Sobolev s…
Potential estimates for the p-Laplace system with data in divergence form
Andrea Cianchi, Sebastian Schwarzacher
A pointwise bound for local weak solutions to the p-Laplace system is established in terms of data on the right-hand side in divergence form. The relevant bound involves a Havin-Ma…
Quasilinear elliptic problems with general growth and merely integrable, or measure, data
Andrea Cianchi, Vladimir Maz'ya
Boundary value problems for a class of quasilinear elliptic equations, with an Orlicz type growth and L^1 right-hand side are considered. Both Dirichlet and Neumann problems are co…
Optimal domain spaces in Orlicz-Sobolev embeddings
Andrea Cianchi, Vít Musil
We deal with Orlicz-Sobolev embeddings in open subsets of . A necessary and sufficient condition is established for the existence of an optimal, i.e. largest possible…
Second-order -regularity in nonlinear elliptic problems
Andrea Cianchi, Vladimir Maz'ya
A second-order regularity theory is developed for solutions to a class of quasilinear elliptic equations in divergence form, including the -Laplace equation, with merely square-…