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math.AP2019
Doubling construction for -invariant solutions to the Allen-Cahn equation
Oscar Agudelo, Michal Kowalczyk, Matteo Rizzi
We construct new families of two-ended -invariant solutions to the Allen- Cahn equation Δu+u-u3=0 in , with , whose zero level sets diver…
math.AP2019
Radial and cylindrical symmetry of solutions to the Cahn-Hilliard equation
Matteo Rizzi
The paper is devoted to the classification of entire solutions to the Cahn-Hilliard equation in , with particular interest in those solutions whose nodal set…