Zobrazeno 1 - 10
of 98
pro vyhledávání: '"D'Alessio, Francesca"'
We are concerned with conservative systems $\ddot{q}=\nabla V(q), \; q\in\mathbb{R}^N$ for a general class of potentials $V\in C^1(\mathbb{R}^N)$. Assuming that a given sublevel set $\{V\leq c\}$ splits in the disjoint union of two closed subsets $\m
Externí odkaz:
http://arxiv.org/abs/1901.06951
We study the existence of solutions $u:\R^{3}\to\R^{2}$ for the semilinear elliptic systems \begin{equation}\label{eq:abs} -\Delta u(x,y,z)+\nabla W(u(x,y,z))=0, \end{equation} where $W:\R^{2}\to\R$ is a double well symmetric potential. We use variat
Externí odkaz:
http://arxiv.org/abs/1309.3104
We study the existence of positive solutions on $\R^{N+1}$ to semilinear elliptic equation $-\Delta u+u=f(u)$ where $N\geq 1$ and $f$ is modeled on the power case $f(u)=|u|^{p-1}u$. Denoting with $c$ the mountain pass level of $\f(u)=\tfrac 12\|u\|^{
Externí odkaz:
http://arxiv.org/abs/1211.6686
Autor:
Alessio, Francesca
Publikováno v:
Indiana University Mathematics Journal, volume 62, issue 5, 2013
We consider a class of semilinear elliptic system of the form $-\Delta u(x,y)+\nabla W(u(x,y))=0,\quad (x,y)\in\R^{2}$ where $W:\R^{2}\to\R$ is a double well non negative symmetric potential. We show, via variational methods, that if the set of solut
Externí odkaz:
http://arxiv.org/abs/1211.5751
Autor:
Briguori, Carlo, Quintavalle, Cristina, D'Alessio, Francesca, Donahue, Michael, Roscigno, Giuseppina, De Micco, Francesca, Focaccio, Amelia, Visconti, Gabriella, del Vecchio, Luigi, Madonna, Rosalinda, De Caterina, Raffaele, Condorelli, Gerolama
Publikováno v:
In International Journal of Cardiology 1 October 2017 244:112-118
Publikováno v:
Indiana University Mathematics Journal, 2016 Jan 01. 65(1), 199-221.
Externí odkaz:
http://www.jstor.org/stable/26318134
Publikováno v:
In Journal of Differential Equations 15 December 2014 257(12):4572-4599
Publikováno v:
In Annales de l'Institut Henri Poincaré / Analyse non linéaire July-August 2014 31(4):725-749
Autor:
Alessio, Francesca
Publikováno v:
Indiana University Mathematics Journal, 2013 Jan 01. 62(5), 1535-1564.
Externí odkaz:
https://www.jstor.org/stable/24904190