86 citations · 185 across the 36 of their papers we have counts for
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Sobolev embeddings in Musielak-Orlicz space
Andrea Cianchi, Lars Diening
An embedding theorem for Sobolev spaces built upon general Musielak-Orlicz norms is offered. These norms are defined in terms of generalized Young functions which also depend on th…
Local boundedness of minimizers under unbalanced Orlicz growth conditions
Andrea Cianchi, Mathias Schäffner
Local minimizers of integral functionals of the calculus of variations are analyzed under growth conditions dictated by different lower and upper bounds for the integrand. Growths…
Global second-order estimates in anisotropic elliptic problems
Carlo Alberto Antonini, Andrea Cianchi, Giulio Ciraolo +2
We deal with boundary value problems for second-order nonlinear elliptic equations in divergence form, which emerge as Euler-Lagrange equations of integral functionals of the Calcu…
Inclusion relations among fractional Orlicz-Sobolev spaces and a Littlewood-Paley characterization
Dominic Breit, Andrea Cianchi
Embeddings among fractional Orlicz-Sobolev spaces with different smoothness are characterized. The equivalence of their Gagliardo-Slobodeckij norms to norms defined via Littlewood-…