Symmetry and uniqueness of nonnegative solutions of some problems in the halfspace
Analysis of PDEs
2013-09-17 v2
Abstract
We derive some 1-D symmetry and uniqueness or non-existence results for nonnegative solutions of some elliptic system in the halfspace in low dimension. Our method is based upon a combination of Fourier series and Liouville theorems.
Keywords
Cite
@article{arxiv.1212.0516,
title = {Symmetry and uniqueness of nonnegative solutions of some problems in the halfspace},
author = {A. Farina and N. Soave},
journal= {arXiv preprint arXiv:1212.0516},
year = {2013}
}