2 papers
math.AP2026
Hyperbolic regularization effects for degenerate elliptic equations
Xavier Lamy, Riccardo Tione
This paper investigates the regularity of Lipschitz solutions to the general two-dimensional equation with highly degenerate ellipticity. Just assuming st…
math.AP2025
Constancy of the index for gradient mappings
André Guerra, Riccardo Tione
We show that if the Hessian of a function has uniformly positive determinant almost everywhere then its index is locally constant, as conjectured by Å verák in 1992. We…