3 papers
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.AP2025
Local Lipschitz continuity of the minimizers of nonuniformly convex functionals under the Lower Bounded Slope Condition
Flavia Giannetti, Giulia Treu
We prove the local Lipschitz regularity of the minimizers of functionals of the form \[ \mathcal I(u)=\int_Ωf(\nabla u(x))+g(x)u(x)\,dx\qquad u\inϕ+W^{1,1}_0(Ω) \] where is bou…
math.MG2023
On the monotonicity of non-local perimeter of convex bodies
Flavia Giannetti, Giorgio Stefani
Under mild assumptions on the kernel , the non-local -perimeter satisfies the monotonicity property on nested convex bodies, i.e., if $A\subset B\subset\mathbb{R}^n…