Semilinear integro-differential equations, II: one-dimensional and saddle-shaped solutions to the Allen-Cahn equation

Juan-Carlos Felipe-Navarro, Tomás Sanz-Perela

This paper addresses saddle-shaped solutions to the semilinear equation $L_{K}u=f(u)$ in ${\mathbb{R}}^{2m}$, where $L_K$ is a linear elliptic integro-differential operator with a r…