On the connection problem for the p-Laplacian system for potentials with several global minima

Abstract

We study the existence of solutions to systems of ordinary differential equations that involve the p-Laplacian for potentials with several global minima. We consider the connection problem for potentials with two minima in arbitrary dimensions and with three or more minima on the plane.

arXiv comment9 pages

Cited by in corpus (1)

• The heteroclinic connection problem for general double-well potentials