Maximal Differentiability for a General Class of Quasilinear Elliptic Equations with Right-hand Side Measures-Reference-Cited by-同舟云学术

Maximal Differentiability for a General Class of Quasilinear Elliptic Equations with Right-hand Side Measures

Published:2021-02-09 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Byun Sun-Sig¹,Cho Namkyeong²,Lee Ho-Sik²

Affiliation:

1. Department of Mathematical Sciences and Research Institute of Mathematics, Seoul National University, Seoul 08826, Korea

2. Department of Mathematical Sciences, Seoul National University, Seoul 08826, Korea

Abstract

Abstract We prove maximal differentiability for the gradient of solutions to a certain type of nonlinear elliptic equations with a measure on the right-hand side. Our results generalize the limiting case of Calderón–Zygmund theory for an elliptic equation with $p$-growth to the case of Orlicz growth.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnaa391/36216309/rnaa391.pdf

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3. Higher order Calderón-Zygmund estimates for the $p$-Laplace equation;Balci;J. Differential Equations,2020

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