Publications in Scientific Journals
P. Ambrosio,
Gradient regularity for strongly singular or degenerate elliptic and parabolic equations, Bruno Pini Mathematical Analysis Seminar, (2025).
[DOI]
P. Ambrosio, S. Ciani,
Local boundedness for weak solutions to strongly degenerate orthotropic parabolic equations, Ricerche di Matematica, (2025).
[DOI]
P. Ambrosio, A.G. Grimaldi, A. Passarelli di Napoli,
On the second-order regularity of solutions to widely singular or degenerate elliptic equations, Annali di Matematica Pura ed Applicata, (2025).
[DOI]
P. Ambrosio, G. Cupini, E. Mascolo,
Regularity of vectorial minimizers for non-uniformly elliptic anisotropic integrals, Nonlinear Analysis, 261, 113897 (2025).
[DOI]
P. Ambrosio,
Sharp Sobolev regularity for widely degenerate parabolic equations, Calc. Var. 64, 32 (2025).
[DOI]
P. Ambrosio, F. Bäuerlein,
Gradient bounds for strongly singular or degenerate parabolic systems, J. Differ. Equ., 401 (2024).
[DOI]
P. Ambrosio, S. Cuomo, M. De Rosa,
A physics-informed deep learning approach for solving strongly degenerate parabolic problems, Engineering with Computers, (2024).
[DOI]
P. Ambrosio, A. Passarelli di Napoli,
Regularity results for a class of widely degenerate parabolic equations, Adv. Calc. Var. 17 (3) (2023).
[DOI]
P. Ambrosio,
Fractional Sobolev regularity for solutions to a strongly degenerate parabolic equation, Forum Math. 35 (6) (2023).
[DOI]
P. Ambrosio,
Besov regularity for a class of singular or degenerate elliptic equations, J. Math. Anal. Appl., 505 (2) 125636 (2022).
[DOI]
Preprints
P. Ambrosio,
Gradient bounds for a widely degenerate orthotropic parabolic equation, ArXiv (2025).
[arXiv]
PhD Thesis
P. Ambrosio,
Regularity results for solutions to some classes of strongly degenerate elliptic and parabolic problems, (2025).
[link 1] [link 2]