Zobrazeno 1 - 10
of 358
pro vyhledávání: '"Terracini, Susanna"'
Autor:
Soave, Nicola, Terracini, Susanna
We consider triplets of densities $(u_1,u_2,u_3)$ minimizing the Dirichlet energy \[\sum_{j=1}^3 \int_{\Omega} |\nabla u_j|^2\,dx \] over a bounded domain $\Omega\subset \mathbb{R}^N$, subject to the partial segregation condition: \[ u_1\,u_2\,u_3 \e
Externí odkaz:
http://arxiv.org/abs/2410.23976
Autor:
Barutello, Vivina, Bergomi, Mattia G., Canneori, Gian Marco, Ciccarelli, Roberto, Ferrario, Davide L., Terracini, Susanna, Vertechi, Pietro
In this paper we present \texttt{SymOrb.jl}, a software which combines group representation theory and variational methods to provide numerical solutions of singular dynamical systems of paramount relevance in Celestial Mechanics and other interactin
Externí odkaz:
http://arxiv.org/abs/2410.17861
We seek periodic trajectories of a system of multiple mutually repelling electrons on a half-line, with an attractive nucleus sitting at the origin. We adopt a variational viewpoint and study critical points of the associated Lagrange-action function
Externí odkaz:
http://arxiv.org/abs/2410.17848
Autor:
Soave, Nicola, Terracini, Susanna
We prove uniform H\"older estimates in a class of singularly perturbed competition-diffusion elliptic systems, with the particular feature that the interactions between the components occur three by three (ternary interactions). These systems are ass
Externí odkaz:
http://arxiv.org/abs/2409.11976
Autor:
Li, Zaizheng, Terracini, Susanna
We analyze the bifurcation phenomenon for the following two-component competition system: \begin{equation*} \begin{cases} -\Delta u_1=\mu u_1(1-u_1)-\beta \alpha u_1u_2,& \text{in}\ B_1\subset \mathbb{R}^N, -\Delta u_2=\sigma u_2(1-u_2)-\beta \gamma
Externí odkaz:
http://arxiv.org/abs/2404.13410
We prove $\textit{a priori}$ and $\textit{a posteriori}$ H\"older bounds and Schauder $C^{1,\alpha}$ estimates for continuous solutions to singular/degenerate equations with variable coefficients of type $$ \mathrm{div}\left(|u|^a A\nabla w\right)=0\
Externí odkaz:
http://arxiv.org/abs/2404.06980
We seek frozen planet orbits for the helium atom through an application of the Mountain Pass Lemma to the Lagrangian action functional. Our method applies to a wide class of gravitational-like interaction potentials thus generalising the results in [
Externí odkaz:
http://arxiv.org/abs/2404.00307
Autor:
Li, Zaizheng, Terracini, Susanna
We investigate the existence of rotating spirals for three-component competition-diffusion systems in $B_1\subset \mathbb{R}^2$: \begin{equation*} \begin{cases} \partial_tu_1-\Delta u_1=f(u_1)-\beta \alpha u_1u_2-\beta \gamma u_1 u_3,& \text{in}\ B_1
Externí odkaz:
http://arxiv.org/abs/2403.00609
Autor:
Polimeni, Davide, Terracini, Susanna
We deal, for the classical $N$-body problem, with the existence of action minimizing half entire expansive solutions with prescribed asymptotic direction and initial configuration of the bodies. We tackle the cases of hyperbolic, hyperbolic-parabolic
Externí odkaz:
http://arxiv.org/abs/2310.06360
Publikováno v:
Arch. Ration. Mech. Anal. 248-2 (2024), 1-44
As a first result we prove higher order Schauder estimates for solutions to singular/degenerate elliptic equations of type: \[ -\mathrm{div}\left(\rho^aA\nabla w\right)=\rho^af+\mathrm{div}\left(\rho^aF\right) \quad\textrm{in}\; \Omega \] for exponen
Externí odkaz:
http://arxiv.org/abs/2301.00227