Dorian Martino

activity

20232026

most citedRegularizing properties of n-Laplace systems with antisymmetric potentials in Lorentz spaces

6 citations · 9 across the 15 of their papers we have counts for

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Showing 2025Show all

3 papers · 1 filter

math.DG2025

Weak immersions with second fundamental form in a critical Sobolev space

Dorian Martino, Tristan Rivière

We develop the analysis of Lipschitz immersions of $n$ -dimensional manifolds into $R^{d}$ having their second fundamental forms bounded in the critical Sobolev space $W^{\fr…

math.DG2025

Construction of harmonic coordinates for weak immersions

Dorian Martino, Tristan Rivière

We prove that any weak immersion in the critical Sobolev space $W^{\frac{n}{2} + 1, 2} (R^{n}; R^{d})$ in even dimension $n \geq 4$ , has global harmonic coordinates if its…

math.AP2025

A weak energy identity for $(n + α)$ -harmonic maps with a free boundary in a sphere

Dorian Martino, Katarzyna Mazowiecka, Rémy Rodiac

In this article, we show that sequences of $(n + α)$ -harmonic maps with a free boundary in $S^{d - 1}$ , where $α$ is a parameter tending to zero, converge to a bubble tree. For…

Weak immersions with second fundamental form in a critical Sobolev space

Construction of harmonic coordinates for weak immersions

A weak energy identity for (n+α)-harmonic maps with a free boundary in a sphere

A weak energy identity for $(n + α)$ -harmonic maps with a free boundary in a sphere