Symmetry of global solutions to a class of fully nonlinear elliptic equations in 2D
Analysis of PDEs
2007-05-23 v1
Abstract
We prove that entire bounded monotone solutions to a certain class of fully nonlinear equations in 2D are one-dimensional. Our result also gives a new (non-variational) proof of the well known De Giorgi's conjecture.
Keywords
Cite
@article{arxiv.math/0702231,
title = {Symmetry of global solutions to a class of fully nonlinear elliptic equations in 2D},
author = {D. De Silva and O. Savin},
journal= {arXiv preprint arXiv:math/0702231},
year = {2007}
}
Comments
13 pages, 2 figures