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math.AP2026
Regularity for Minimizers of non Autonomous Singular Functionals with Anisotropic Growth
Albert Clop, Antonia Passarelli di Napoli, Stefania Russo
We establish the higher differentiability of the local minimizers to a class of non autonomous convex integral functionals satisfying anisotropic subquadratic growth conditions, th…
math.AP2026
Local boundedness for solutions to parabolic -problems with degenerate coefficients
Flavia Giannetti, Antonia Passarelli di Napoli, Christoph Scheven
We investigate the local boundedness of solutions to parabolic equations of the form \begin{equation*} \partial_tu-\mathrm{div}\,\mathcal{A}(x,t,Du)=0 \qquad\m…