Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Gaia, Filippo"'
Autor:
Gaia, Filippo
Let $\Omega \subset \mathbb{C}^2$ be a smooth domain. We establish conditions under which a weakly conformal, branched $\Omega$-free boundary Hamiltonian stationary Lagrangian immersion $u$ of a disc in $\mathbb{C}^2$ is a $\Omega$-free boundary mini
Externí odkaz:
http://arxiv.org/abs/2408.00748
Autor:
Gaia, Filippo
For any $k\in \mathbb{N}$ we construct an Hamiltonian stationary Lagrangian map from a disc to $\mathbb{C}^2$ with infinitely many Schoen-Wolfson singularities which is of class $C^k$ up to the boundary and has smooth trace.
Externí odkaz:
http://arxiv.org/abs/2406.09344
Autor:
Gaia, Filippo
We obtain a weak formulation of the stationarity condition for the half Dirichlet energy, which can be expressed in terms of a fractional analogous to the Hopf differential. As an application we show that conformal harmonic maps from the disc are pre
Externí odkaz:
http://arxiv.org/abs/2402.04956
We construct using variational methods Hamiltonian Stationary Surfaces with Isolated Schoen-Wolfson Conical Singularities. We obtain these surfaces through a convergence process reminiscent to the Ginzburg-Landau asymptotic analysis in the strongly r
Externí odkaz:
http://arxiv.org/abs/2311.15734
Autor:
Caniato, Riccardo, Gaia, Filippo
For every given $p\in [1,+\infty)$ and $n\in\mathbb{N}$ with $n\ge 1$, the authors identify the strong $L^p$-closure $L_{\mathbb{Z}}^p(D)$ of the class of vector fields having finitely many integer topological singularities on a domain $D$ which is e
Externí odkaz:
http://arxiv.org/abs/2210.04730
Autor:
Gaia, Filippo, Rivière, Tristan
We present a renormalization procedure of the Dirichlet Lagrangian for maps from surfaces with or without boundary into $S^1$ and whose finite energy critical points are the $S^1-$harmonic maps with isolated singularities. We give some applications o
Externí odkaz:
http://arxiv.org/abs/2111.14769
Autor:
Gaia, Filippo
In this work we derive Noether Theorems for energies of the form \begin{equation*} E(u)=\int_\Omega L\left(x,u(x),(-\Delta)^\frac{1}{4}u(x)\right)dx \end{equation*} for Lagrangians exhibiting invariance under a group of transformations acting either
Externí odkaz:
http://arxiv.org/abs/2004.02917
Autor:
Gaia, Filippo, Rivière, Tristan
Publikováno v:
In Journal of Functional Analysis 1 December 2023 285(11)
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.