Special Session 40: Qualitative aspects of linear and nonlinear elliptic and parabolic problems
Contents
In this lecture we present a family of entire solutions to the Allen-Cahn equation in $\mathbb{R}^{N+1}$ for $N \geq 3$, whose level set approaches the higher dimensional catenoid in a compact region and has two logarithmic ends governed by the solutions to the Liouville equation.