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

Jonah A. J. Duncan; Luc Nguyen

arxiv: 2009.06362 · v2 · pith:JTH3VSQRnew · submitted 2020-09-14 · 🧮 math.AP · math.DG

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

Jonah A. J. Duncan , Luc Nguyen This is my paper

classification 🧮 math.AP math.DG

keywords derivativedomainsequationestimateseuclideanlocalpointwisepositive

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

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