One-dimensional symmetry for solutions of Allen Cahn fully nonlinear equations
Analysis of PDEs
2010-02-11 v1
Abstract
This article presents some qualitative results for entire solutions of the fully nonlinear elliptic equations of Allen Cahn type . Precisely under some additional assumptions on the forcing term, if the solution is bounded and converges uniformly at infinity in a fixed direction to its extrema, then the solution depends only on one variable.
Keywords
Cite
@article{arxiv.1002.2137,
title = {One-dimensional symmetry for solutions of Allen Cahn fully nonlinear equations},
author = {I. Birindelli and F. Demengel},
journal= {arXiv preprint arXiv:1002.2137},
year = {2010}
}
Comments
20 pages