Stationary layered solutions for a system of Allen-Cahn type equations
Analysis of PDEs
2014-04-22 v2
Abstract
We consider a class of semilinear elliptic system of the form where is a double well non negative symmetric potential. We show, via variational methods, that if the set of solutions to the one dimensional system , which connect the two minima of as has a discrete structure, then the given system has infinitely many layered solutions.
Keywords
Cite
@article{arxiv.1211.5751,
title = {Stationary layered solutions for a system of Allen-Cahn type equations},
author = {Francesca Alessio},
journal= {arXiv preprint arXiv:1211.5751},
year = {2014}
}