86 citations · 185 across the 36 of their papers we have counts for
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Maximal Sobolev regularity of the stress tensor for the symmetric gradient p-Laplace system
Linus Behn, Andrea Cianchi, Lars Diening +1
The symmetric -Laplace operator enters various models in mathematical physics, such as incompressible materials with power-type hardening and non-Newtonian fluids. In this work,…
Fractional higher differentiability of solutions to strongly nonlinear Stokes systems
Andrea Cianchi, Flavia Giannetti, Antonia Passarelli di Napoli +1
This work concerns stationary Stokes type systems governed by a general class of non-necessarily power-type nonlinearities. Fractional regularity properties of the symmetric gradie…
Global Lipschitz regularity in anisotropic elliptic problems with natural gradient growth
Carlo Alberto Antonini, Andrea Cianchi
We deal with homogeneous Dirichlet and Neumann boundary-value problems for anisotropic elliptic operators of p-Laplace type. They emerge as Euler-Lagrange equations of integral fun…
Strongly nonlinear Robin problems for harmonic and polyharmonic functions in the half-space
Andrea Cianchi, Gael Y. Diebou, Lenka Slavíková
Existence and global regularity results for boundary-value problems of Robin type for harmonic and polyharmonic functions in -dimensional half-spaces are offered. The Robin cond…
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…