English

The heteroclinic connection problem for general double-well potentials

Analysis of PDEs 2016-07-19 v3

Abstract

By variational methods, we provide a simple proof of existence of a heteroclinic orbit to the Hamiltonian system u=W(u)u''=\nabla W(u) that connects the two global minima of a double-well potential WW. Moreover, we consider several inhomogeneous extensions.

Keywords

Cite

@article{arxiv.1311.2856,
  title  = {The heteroclinic connection problem for general double-well potentials},
  author = {Christos Sourdis},
  journal= {arXiv preprint arXiv:1311.2856},
  year   = {2016}
}

Comments

this version contains some more recent references compared to the published one, Mediterranean Journal of Mathematics (2016)

R2 v1 2026-06-22T02:05:59.312Z