Zobrazeno 1 - 10
of 340
pro vyhledávání: '"Terracini, Susanna"'
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
Autor:
Paradela, Jaime, Terracini, Susanna
A fundamental question in Celestial Mechanics is to analyze the possible final motions of the Restricted $3$-body Problem, that is, to provide the qualitative description of its complete (i.e. defined for all time) orbits as time goes to infinity. Ac
Externí odkaz:
http://arxiv.org/abs/2212.05684
We prove the presence of topological chaos at high internal energies for a new class of mechanical refraction billiards coming from Celestial Mechanics. Given a smooth closed domain $D\in\mathbb{R}^2$, a central mass generates a Keplerian potential i
Externí odkaz:
http://arxiv.org/abs/2212.01150
We give a complete characterization of the boundary traces $\varphi_i$ ($i=1,\dots,K$) supporting spiraling waves, rotating with a given angular speed $\omega$, which appear as singular limits of competition-diffusion systems of the type \[ \frac{\pa
Externí odkaz:
http://arxiv.org/abs/2202.10369