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arXiv · 2009.06362

Local pointwise second derivative estimates for strong solutions to the $\sigma_k$-Yamabe equation on Euclidean domains

Jonah A. J. Duncan·Luc Nguyen
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Abstract

We prove local pointwise second derivative estimates for positive $W^{2,p}$ solutions to the $\sigma_k$-Yamabe equation on Euclidean domains, addressing both the positive and negative cases. Generalisations for augmented Hessian equations are also considered.

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Jonah A. J. Duncan, Luc Nguyen. 2020-09-14. Local pointwise second derivative estimates for strong solutions to the $\sigma_k$-Yamabe equation on Euclidean domains. https://doi.org/10.1007/s00526-021-02051-0

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