Linearity of homogeneous order one solutions to elliptic equations in dimension three

Qing Han; Nikolai Nadirashvili; Yu Yuan

Linearity of homogeneous order one solutions to elliptic equations in dimension three

Analysis of PDEs 2007-05-23 v1 Differential Geometry

Authors: Qing Han , Nikolai Nadirashvili , Yu Yuan

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Abstract

We prove that any homogeneous order one solution to 3-d nondivergence elliptic equations must be linear.

Keywords

homogeneous solutions elliptic equations non-divergence form linearity dimension three

Cite

@article{arxiv.math/0201241,
  title  = {Linearity of homogeneous order one solutions to elliptic equations in dimension three},
  author = {Qing Han and Nikolai Nadirashvili and Yu Yuan},
  journal= {arXiv preprint arXiv:math/0201241},
  year   = {2007}
}