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

We prove local pointwise second derivative estimates for positive W2,p solutions to the σk-Yamabe equation on Euclidean domains, addressing both the positive and negative cases. Generalisations for augmented Hessian equations are also considered.

Bibliografische gegevens
Hoofdauteurs: Duncan, JAJ, Nguyen, LUC
Formaat: Journal article
Taal:English
Gepubliceerd in: Springer Nature 2021
Omschrijving
Samenvatting:We prove local pointwise second derivative estimates for positive W2,p solutions to the σk-Yamabe equation on Euclidean domains, addressing both the positive and negative cases. Generalisations for augmented Hessian equations are also considered.