Singular Solutions to Conformal Hessian Equations

Citation:

Nikolai NADIRASHVILI,Serge VLu ADUc T.Singular Solutions to Conformal Hessian Equations[J].Chinese Annals of Mathematics B,2017,38(2):591~600
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Authors:

Nikolai NADIRASHVILI; Serge VLu ADUc T
Abstract: The authors show that for any $\varepsilon\in ]0,1[$, there exists an analytic outside zero solution to a uniformly elliptic conformal Hessian equation in a ball $B\subset\R^5$ which belongs to $C^{1,\varepsilon} (B)\setminus C^{1,\varepsilon+} (B)$.

Keywords:

Viscosity solutions, Conformal Hessian equation, Cartan's cubic

Classification:

35J60, 53C38
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