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math.AP2026
A singular minimizer of a smooth strongly polyconvex functional in two dimensions
André Guerra, Riccardo Tione
We construct a Lipschitz, non- map which is the unique global minimizer of a smooth, strongly polyconvex functional. Such an example is…
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…