Variational construction of basic heteroclinic solutions for an Allen-Cahn equation
Analysis of PDEs
2023-09-21 v1 Dynamical Systems
Abstract
We establish a variational construction of minimal and without self-intersection solutions for an Allen-Cahn equation, especially for those corresponding to irrational rotation vectors. These consequences generalize the results of rational cases of Rabinowitz and Stredulinsky to irrational cases.
Keywords
Cite
@article{arxiv.2309.11466,
title = {Variational construction of basic heteroclinic solutions for an Allen-Cahn equation},
author = {Wen-Long Li},
journal= {arXiv preprint arXiv:2309.11466},
year = {2023}
}