6 papers
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…
Fractional Orlicz-Sobolev embeddings into Campanato type spaces
Angela Alberico, Andrea Cianchi, Luboš Pick +1
Optimal embeddings for fractional Orlicz-Sobolev spaces into (generalized) Campanato spaces on the Euclidean space are exhibited. Embeddings into vanishing Campanato spaces are als…
Strongly nonlinear Robin problems for harmonic and polyharmonic functions in the half-space
Andrea Cianchi, Gael Y. Diebou, Lenka SlavÃková
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…
Higher-order Sobolev embeddings into spaces of Campanato and Morrey type
Paola Cavaliere, Andrea Cianchi, Luboš Pick +1
Necessary and sufficient conditions are offered for Sobolev type spaces built on rearrangement-invariant spaces to be continuously embedded into (generalized) Campanato and Morrey…