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math.AP2022
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.…
math.AP2022
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…
math.AP2022★ 1 cited
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…