Francesca Alessio

Stationary layered solutions in ${\mathbb{R}}^2$ for a class of non autonomous Allen-Cahn equations

Francesca Alessio, Louis Jeanjean, Piero Montecchiari · Calculus of Variations and Partial Differential Equations · 2000 · 41 citations

Integrable System, Physics, Nonlinear Functional Analysis

Saddle-type solutions for a class of semilinear elliptic equations

Francesca Alessio, Alessandro Calamai, Piero Montecchiari · Advances in Differential Equations · 2007 · 40 citations · Full text

Spectral Theory, Monge-ampere Equation, Variational Methods +11

EXISTENCE OF INFINITELY MANY STATIONARY LAYERED SOLUTIONS IN<b>R</b>²FOR A CLASS OF PERIODIC ALLEN–CAHN EQUATIONS

Francesca Alessio, Louis Jeanjean, Piero Montecchiari · Communications in Partial Differential Equations · 2002 · 31 citations

Elliptic Equation, Boundary Conditions, Physics +8

Entire solutions in ${\mathbb{R}}^{2}$ for a class of Allen-Cahn equations

Francesca Alessio, Piero Montecchiari · ESAIM Control Optimisation and Calculus of Variations · 2005 · 26 citations · Full text

Monge-ampere Equation, Dimensional Symmetries, Elliptic Equation +12

Multiplicity of Entire Solutions For a Class of Almost Periodic Allen-Cahn Type Equations

Francesca Alessio, Piero Montecchiari · Advanced Nonlinear Studies · 2005 · 21 citations

Spectral Theory, Dimensional Entire Solutions, Elliptic Equation +10