86 citations · 185 across the 36 of their papers we have counts for
4 papers · 1 filter
Sobolev embeddings, rearrangement-invariant spaces and Frostman measures
Andrea Cianchi, Luboš Pick, Lenka Slavíková
Sobolev embeddings, of arbitrary order, are considered into function spaces on domains of endowed with measures whose decay on balls is dominated by a power of th…
Moser inequalities in Gauss space
Andrea Cianchi, Vít Musil, Luboš Pick
The sharp constants in a family of exponential Sobolev type inequalities in Gauss space are exhibited. They constitute the Gaussian analogues of the Moser inequality in the borderl…
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 $…
Sobolev inequalities for the symmetric gradient in arbitrary domains
Andrea Cianchi, Vladimir Maz'ya
A form of Sobolev inequalities for the symmetric gradient of vector-valued functions is proposed, which allows for arbitrary ground domains in . In the relevant inequ…