Zobrazeno 1 - 10
of 133
pro vyhledávání: '"DA LIO, Francesca"'
Autor:
Da Lio, Francesca, Gianocca, Matilde
In this paper we study the behaviour of critical points of the Ginzburg-Landau perturbation of the Dirichlet energy into the sphere $E_\varepsilon(u):=\int_\Sigma \frac{1}{2}|du|^2_h\ \,dvol_h +\frac{1}{4\varepsilon^2}(1-|u|^2)^2\,dvol_h=\int_{\Sigma
Externí odkaz:
http://arxiv.org/abs/2406.07317
Autor:
Da Lio, Francesca, Rivière, Tristan
We prove that $p $-harmonic systems with antisymmetric potentials can be written in divergence form as a conservation law. This extends to the $p$-harmonic framework the original work from 2006 of the second author for $p=2$ (arXiv:math/0603380). We
Externí odkaz:
http://arxiv.org/abs/2311.04029
Autor:
Da Lio, Francesca, Hyder, Ali
In this paper we study the asymptotic behavior of sequences of stationary weak solutions to the following Liouville-type equation $-\Delta u=e^u~~~{in }~~~\Omega$, where $\Omega$ is an open set of $R^3$. By improving the partial regularity estimates
Externí odkaz:
http://arxiv.org/abs/2303.04464
We prove the upper-semi-continuity of the Morse index plus nullity of critical points to general conformally invariant Lagrangians in dimension 2 under weak convergence. Precisely we establish that the sum of the Morse indices and the nullity of an a
Externí odkaz:
http://arxiv.org/abs/2212.03124
We consider the Dirac Operator acting on the Clifford Algebra ${C\ell}_{m}$. We show that under critical assumptions on the potential and the spinor field the equation is subject to an integrability by compensation phenomenon and has a sub-critical b
Externí odkaz:
http://arxiv.org/abs/2108.10200
We prove that for antisymmetric vectorfield $\Omega$ with small $L^2$-norm there exists a gauge $A \in L^\infty \cap \dot{W}^{1/2,2}(\mathbb{R}^1,GL(N))$ such that ${\rm div}_{\frac12} (A\Omega - d_{\frac{1}{2}} A) = 0$. This extends a celebrated the
Externí odkaz:
http://arxiv.org/abs/2101.07151
In this note, we prove a fractional version in $1$-D of the Bourgain-Brezis inequality \cite{bourgain1}. We show that such an inequality is equivalent to the fact that a holomorphic function $f\colon\D\to\C$ belongs to the Bergman space ${\mathcal{A}
Externí odkaz:
http://arxiv.org/abs/2011.03950
Autor:
Da Lio, Francesca, Rivière, Tristan
We present a class of Pseudo-differential elliptic systems with anti-self-dual potentials on ${\mathbb R}$ satisfying compensation phenomena similar to the ones for elliptic systems with anti-symmetric potentials. These compensation phenomena are bas
Externí odkaz:
http://arxiv.org/abs/1907.10501
Autor:
Da Lio, Francesca, Rivière, Tristan
We establish the regularity in 2 dimensions of $L^2$ solutions to critical elliptic systems in divergence form involving involution operators of finite $W^{1,2}$-energy.
Externí odkaz:
http://arxiv.org/abs/1907.10520
Autor:
Da Lio, Francesca
The aim of this note is to discuss in more detail the Pohozaev-type identities that have been recently obtained by the author, Paul Laurain and Tristan Rivi\`ere in the framework of half-harmonic maps defined either on $R$ or on the sphere $S^1$ with
Externí odkaz:
http://arxiv.org/abs/1811.03893