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math.AP2025
Regularity for minimizers of degenerate, non-autonomous, orthotropic integral functionals
Antonio Giuseppe Grimaldi, Stefania Russo
We prove the higher differentiability of integer order of locally bounded minimizers of integral functionals of the form \begin{equation*} \mathcal{F}(u,Ω):= \,\sum_{i=1}^{n} \dfra…
math.AP2025
Weak comparison principle for widely degenerate elliptic equations
Antonio Giuseppe Grimaldi, Stefania Russo
We prove a comparison principle for local weak solutions to a class of widely degenerate elliptic equations of the form \begin{equation} -\text{div} \left( \left(|Du|-1 \right)^{p-…
math.AP2025★ 1 cited
Higher Differentiability of Minimizers for Non-Autonomous Orthotropic Functionals
Stefania Russo
We establish the higher differentiability for the minimizers of the following non-autonomous integral functionals \begin{equation*} \mathcal{F}(u,Ω):= \, \int_Ω\sum_{i=1}^{n} \, a_…