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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math.DG2026

Comparison between renormalized volume and area in the Weil--Petersson topology

Dorian Martino

We prove that the renormalized volume between the two Epstein surfaces associated with a Weil--Petersson quasicircle is continuous with respect to the Weil--Petersson topology. As…

math.AP2026

Non-Regularizing properties of $n$ -Laplace systems with antisymmetric potentials in critical Lebesgue spaces

Dorian Martino, Armin Schikorra

For every $n \geq 3$ we construct a bounded discontinuous map $u \in W^{1, n} (B^{n}, R^{n + 2})$ solving an $n$ -Laplace system with an antisymmetric potential $Ω \in L^{n}$ .…

math.AP2026

On minimizing $W^{s, 1/ s}$ -maps between circles

Dorian Martino, Katarzyna Mazowiecka, Armin Schikorra

For $s \in (1/4, 1)$ and any degree the only $W^{s, \frac{1}{s}}$ -minimizers for $S^{1} \to S^{1}$ maps are Blaschke products. This gives a resolution of Open Problems…

math.AP2026

Minimizing and non-minimizing degree one $W^{s, 1/ s}$ -harmonic maps between spheres

Dorian Martino, Katarzyna Mazowiecka, Armin Schikorra

We show that $i d : S^{1} \to S^{1}$ is \emph{not} a minimizing $W^{s, \frac{1}{s}}$ -harmonic map for $s \in (0, \frac{1}{8}$ ). On the other hand, for $s \in (\frac{1}{3},…

math.AP2026

Min-max $n$ -harmonic maps of degree 1 with free-boundary into $S^{n - 1}$ in almost round balls

Dorian Martino, Katarzyna Mazowiecka, Rémy Rodiac

Let $n \geq 3$ and let $Ω \subset R^{n}$ be a $C^{1}$ bounded domain which is diffeomorphic to a ball. We investigate here the problem of finding critical points of th…

math.AP2026

Existence of nontrival $n$ -harmonic maps via min-max methods

Dorian Martino, Katarzyna Mazowiecka, Armin Schikorra

For any $n \geq 3$ and any closed manifold $N$ with $π_{n + k} (N) \neq = {0}$ for some $k \geq 0$ , we establish the existence of nontrivial $n$ -harmonic maps from…

Comparison between renormalized volume and area in the Weil--Petersson topology

Non-Regularizing properties of n-Laplace systems with antisymmetric potentials in critical Lebesgue spaces

On minimizing Ws,1/s-maps between circles

Minimizing and non-minimizing degree one Ws,1/s-harmonic maps between spheres

Min-max n-harmonic maps of degree 1 with free-boundary into Sn−1 in almost round balls

Existence of nontrival n-harmonic maps via min-max methods

Non-Regularizing properties of $n$ -Laplace systems with antisymmetric potentials in critical Lebesgue spaces

On minimizing $W^{s, 1/ s}$ -maps between circles

Minimizing and non-minimizing degree one $W^{s, 1/ s}$ -harmonic maps between spheres

Min-max $n$ -harmonic maps of degree 1 with free-boundary into $S^{n - 1}$ in almost round balls

Existence of nontrival $n$ -harmonic maps via min-max methods