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math.AP2024★ 1 cited
Regularity results for minimizers of non-autonomous integral functionals
Antonio Giuseppe Grimaldi, Stefania Russo
We establish the higher fractional differentiability for the minimizers of non-autonomous integral functionals of the form \begin{equation} \mathcal{F}(u,Ω):=\int_Ω\left[ f(x,Du)-…
math.AP2024
On widely degenerate \textit{p}-Laplace equations with symmetric data
Stefania Russo
In this paper, we consider the Dirichlet problems with a widely degenerate equation. Through a well-known result by Talenti, we explicitly express the gradient of the solution $u_p…