Francesca Alessio

activity

20122019

most citedStationary layered solutions for a system of Allen-Cahn type equations

19 citations · 27 across the 3 of their papers we have counts for

collaborators

4 papers

math.DS2019

Prescribed energy connecting orbits for gradient systems

Francesca Alessio, Piero Montecchiari, Andres Zuniga

We are concerned with conservative systems $q ¨ = \nabla V (q), q \in R^{N}$ for a general class of potentials $V \in C^{1} (R^{N})$ . Assuming that a given sublevel se…

math.AP2013★ 1 cited

Multiplicity of layered solutions for Allen-Cahn systems with symmetric double well potential

Francesca G. Alessio, Piero Montecchiari

We study the existence of solutions $u : R^{3} \to R^{2}$ for the semilinear elliptic systems \begin{equation}\label{eq:abs} -Δu(x,y,z)+\nabla W(u(x,y,z))=0, \end{equation} where $W:…

math.AP2012★ 19 cited

Stationary layered solutions for a system of Allen-Cahn type equations

Francesca Alessio

We consider a class of semilinear elliptic system of the form $- Δ u (x, y) + \nabla W (u (x, y)) = 0, (x, y) \in R^{2}$ where $W : R^{2} \to R$ is a double well non negative symmetric poten…

math.AP2012★ 7 cited

An energy constrained method for the existence of layered type solutions of NLS equations

Francesca Alessio, Piero Montecchiari

We study the existence of positive solutions on $R^{N + 1}$ to semilinear elliptic equation $- Δ u + u = f (u)$ where $N \geq 1$ and $f$ is modeled on the power case $f (u) = ∣ u ∣^{p - 1} u$ . Deno…