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arXiv · 2610.29079

Isolated Singularities of k-Hessian Equations

Shiguang Ma·Shengyang Zang
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Abstract

We classify isolated singularities of nonpositive, $k$-admissible classical solutions to $k$-Hessian equations without radial symmetry assumptions. For $1\le k 0$ and $0\le\ell<n$. The proofs combine Hessian-measure compactness, Wolff-potential estimates, a global Bôcher theorem, and a bounded-variation analysis of spherical extrema.

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Shiguang Ma, Shengyang Zang. 2026-10-21. Isolated Singularities of k-Hessian Equations. https://arxiv.org/abs/2610.29079

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