Francesca Alessio

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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

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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…