86 citations · 185 across the 36 of their papers we have counts for
5 papers · 1 filter
Wulff shape symmetry of solutions to overdetermined problems for Finsler Monge-Ampère equations
Andrea Cianchi, Paolo Salani
We deal with Monge-Ampère type equations modeled upon general anisotropic norms in . An overdetermined problem for convex solutions to these equations is analyzed.…
Optimal Sobolev embeddings for the Ornstein-Uhlenbeck operator
Andrea Cianchi, Vít Musil, Luboš Pick
A comprehensive analysis of Sobolev-type inequalities for the Ornstein-Uhlenbeck operator in the Gauss space is offered. A unified approach is proposed, providing one with criteria…
Distortion of Hausdorff measures under Orlicz--Sobolev maps
Andrea Cianchi, Mikhail V. Korobkov, Jan Kristensen
A comprehensive theory of the effect of Orlicz-Sobolev maps, between Euclidean spaces, on subsets with zero or finite Hausdorff measure is offered. Arbitrary Orlicz-Sobolev spaces…
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…