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math.AP2026
Sobolev regularity of the symmetric gradient of solutions to a class of -Laplacian systems
Flavia Giannetti, Antonia Passarelli di Napoli
The paper deals with the second order regularity properties of the weak solutions } of systems of the form \begin{equation*}\label{equareg} -\dive A(x,\E…
math.AP2022
Higher differentiability results for solutions to a class of non-homogeneouns elliptic problems under sub-quadratic growth conditions
Albert Clop, Andrea Gentile, Antonia Passarelli di Napoli
We prove a sharp higher differentiability result for local minimizers of functionals of the form $$\mathcal{F}\left(w,Ω\right)=\int_Ω\left[ F\left(x,Dw(x)\right)-f(x)\cdot w(x)\rig…
math.AP2020
Elliptic Equations With Degenerate weights
Anna Kh. Balci, Lars Diening, Raffaella Giova +1
We obtain new local Calderon-Zygmund estimates for elliptic equations with matrix-valued weights for linear as well as non-linear equations. We introduce a novel log-BMO condition…