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 ⊂ ℝ 5 which belongs to C 1, ε ( B ) \ C 1, ε +( B ).

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Bibliographic Details
Published in:Chinese annals of mathematics. Serie B 2017-03, Vol.38 (2), p.591-600
Main Authors: Nadirashvili, Nikolai, Vlăduţ, Serge
Format: Article
Language:English
Subjects:
Applications of Mathematics
Mathematics
Mathematics and Statistics
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Summary: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 ⊂ ℝ 5 which belongs to C 1, ε ( B ) \ C 1, ε +( B ).
ISSN:0252-9599
1860-6261
DOI:10.1007/s11401-017-1085-6