Local pointwise second derivative estimates for strong solutions to the $$\sigma _k$$-Yamabe equation on Euclidean domains-Reference-Cited by-同舟云学术

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

Published:2021-07-31 Issue:5 Volume:60 Page:
ISSN:0944-2669
Container-title:Calculus of Variations and Partial Differential Equations
language:en
Short-container-title:Calc. Var.

Author:

Duncan Jonah A. J.^ORCID,Nguyen Luc^ORCID

Abstract

AbstractWe prove local pointwise second derivative estimates for positive

$$W^{2,p}$$

W 2 , p solutions to the

$$\sigma _k$$

σ k -Yamabe equation on Euclidean domains, addressing both the positive and negative cases. Generalisations for augmented Hessian equations are also considered.

Funder

Engineering and Physical Sciences Research Council

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s00526-021-02051-0.pdf

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