Flavia Giannetti

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20232026

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math.AP2026

Sobolev regularity of the symmetric gradient of solutions to a class of $ϕ$ -Laplacian systems

Flavia Giannetti, Antonia Passarelli di Napoli

The paper deals with the second order regularity properties of the weak solutions $u \in W^{1, ϕ} (Ω, ℜ^{n})$ } 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 $g$ is bou…

Sobolev regularity of the symmetric gradient of solutions to a class of ϕ-Laplacian systems

Local Lipschitz continuity of the minimizers of nonuniformly convex functionals under the Lower Bounded Slope Condition

Sobolev regularity of the symmetric gradient of solutions to a class of $ϕ$ -Laplacian systems