Regularity of elliptic systems in divergence form with directional homogenization

Rong Dong; Dongsheng Li; Lihe Wang

doi:10.3934/dcds.2018004

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Regularity of elliptic systems in divergence form with directional homogenization

Journal article

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Regularity of elliptic systems in divergence form with directional homogenization

Rong Dong, Dongsheng Li and Lihe Wang

Discrete and continuous dynamical systems, Vol.38(1), pp.75-90

2018

DOI: 10.3934/dcds.2018004

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Abstract

n this paper, we study regularity of solutions of elliptic systems in divergence form with directional homogenization. Here directional homogenization means that the coefficients of equations are rapidly oscillating only in some directions. We will investigate the different regularity of solutions on directions with homogenization and without homogenization. Actually, we obtain uniform interior W1,p estimates in all directions and uniform interior C1,γ estimates in the directions without homogenization.

Details

Title: Subtitle: Regularity of elliptic systems in divergence form with directional homogenization
Creators: Rong Dong
Dongsheng Li
Lihe Wang
Resource Type: Journal article
Publication Details: Discrete and continuous dynamical systems, Vol.38(1), pp.75-90
DOI: 10.3934/dcds.2018004
ISSN: 1553-5231
eISSN: 1553-5231
Language: English
Date published: 2018
Academic Unit: Mathematics
Record Identifier: 9984083865602771

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