Tomás Sanz-Perela

collaborators

2 papers

math.AP2019

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 $R^{2 m}$ , where $L_{K}$ is a linear elliptic integro-differential operator with a r…

math.AP2019

Semilinear integro-differential equations, I: odd solutions with respect to the Simons cone

Juan-Carlos Felipe-Navarro, Tomás Sanz-Perela

This is the first of two papers concerning saddle-shaped solutions to the semilinear equation $L_{K} u = f (u)$ in $R^{2 m}$ , where $L_{K}$ is a linear elliptic integro-differen…