Singular solutions to conformal Hessian equations

Abstract

The authors show that for any ε ∈]0, 1[, there exists an analytic outside zero solution to a uniformly elliptic conformal Hessian equation in a ball B ⊂ ℝ⁵ which belongs to C ^1,ε(B) \C ^1,ε+(B).

Keywords

Viscosity solutions / Conformal Hessian equation / Cartan’s cubic

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