4 mar 2020 -- 17:00   [open in google calendar]

Scuola Normale Superiore, Aula Mancini

Abstract.

In this talk I will discuss the construction of new families of two-ended $O(m)\times O(n)$-invariant solutions to the Allen-Cahn equation $\Delta u+u-u^3$= 0 in $\R^{N+1}$, with $N\ge 7$, whose zero level sets diverge logarithmically from the Lawson cone at infinity. The construction is based on a careful study of the Jacobi-Toda system on a given $O(m)\times O(n)$-invariant manifold, which is asymptotic to the Lawson cone at infinity. This is a joint work with. O. Agudelo and M. Rizzi.