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arXiv · 1409.1454

Singular solutions of conformal Hessian equation

Nikolai Nadirashvili·Serge Vladuts
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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 $B\subset\R^5$ which belongs to $C^{1,\epsilon} (B)\setminus C^{1,\epsilon+} (B)$.

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Nikolai Nadirashvili, Serge Vladuts. 2014-09-04. Singular solutions of conformal Hessian equation. https://arxiv.org/abs/1409.1454

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