Singular Solutions of Hessian Elliptic Equations in Five Dimensions

Abstract

We show that for any $\delta \in [0,1)$ there exists a homogeneous order $2-\delta$ analytic outside zero solution to a uniformly elliptic Hessian equation in R^5.

arXiv comment20 pages. arXiv admin note: substantial text overlap with arXiv:1111.0329, arXiv:0912.3126