Singular solutions of conformal Hessian equation

Abstract

We show that for any $\epsilon \in ]0,1[$ there exists an analytic outside zero solution to a uniformly elliptic conformal Hessian equation in a ball $B\subset {\mathbb{R}}^5$ which belongs to $C^{1,\epsilon }(B)\setminus C^{1,\epsilon +}(B)$.

10 pages