Regularity Bootstrapping for 4th-order Nonlinear Elliptic Equations-Reference-Cited by-同舟云学术

Regularity Bootstrapping for 4th-order Nonlinear Elliptic Equations

Published:2019-01-16 Issue:6 Volume:2021 Page:4324-4348
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Bhattacharya Arunima¹,Warren Micah¹

Affiliation:

1. Department of Mathematics University of Oregon, Eugene, OR, USA

Abstract

Abstract We consider nonlinear 4th-order elliptic equations of double divergence type. We show that for a certain class of equations where the nonlinearity is in the Hessian, solutions that are $C^{2,\alpha }$ enjoy interior estimates on all derivatives.

Funder

National Science Foundation

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/article-pdf/2021/6/4324/36604885/rny301.pdf

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