Publications

[1] L. Dupaigne, A. Farina, T. Petitt, Liouville-type theorems for the Lane-Emden equation in the half-space and cones, J. Funct. Anal. 284 109906 (2023). Link.

[2] M. Muratori, T. Petitt, An inhomogeneous porous medium equation with large data: Well-posedness, J. Differential Equations. 377 712-758 (2023). Link.

[3] M. Muratori, T. Petitt, F. Quirós, An inhomogeneous porous medium equation with large data: Asymptotics, Nonlinear Anal. 263 113979 (2026). Link.

[4] G. Grillo, M. Muratori, T. Petitt, N. Simonov, A porous medium equation with rough weights: sharp Widder theory, submitted 2025, to appear in Trans. Amer. Math. Soc.  Link.