Singular solutions to conformal Hessian equations
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).
KeywordsViscosity solutions Conformal Hessian equation Cartan’s cubic
2000 MR Subject Classification35J60 53C38
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The authors are deeply grateful to the anonimous referee whose advise permitted to ameliorate significantly our exposition.
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