English

Some remarks on the classification of global solutions with asymptotically flat level sets

Analysis of PDEs 2016-10-12 v1

Abstract

We simplify some technical steps from \cite{S1} in which a conjecture of De Giorgi was addressed. For completeness we make the paper self-contained and reprove the classification of certain global bounded solutions for semilinear equations of the type u=W(u),\triangle u=W'(u), where WW is a double well potential.

Keywords

Cite

@article{arxiv.1610.03448,
  title  = {Some remarks on the classification of global solutions with asymptotically flat level sets},
  author = {Ovidiu Savin},
  journal= {arXiv preprint arXiv:1610.03448},
  year   = {2016}
}