Elliptic equations with BMO nonlinearity in Reifenberg domains

Sun-Sig Byun; Lihe Wang

doi:10.1016/j.aim.2008.07.016

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Elliptic equations with BMO nonlinearity in Reifenberg domains

Journal article

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Peer reviewed

Elliptic equations with BMO nonlinearity in Reifenberg domains

Sun-Sig Byun and Lihe Wang

Advances in mathematics (New York. 1965), Vol.219(6), pp.1937-1971

2008

DOI: 10.1016/j.aim.2008.07.016

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Abstract

Given p ∈ [ 2 , + ∞ ) , we obtain the global W 1 , p estimate for the weak solution of a boundary-value problem for an elliptic equation with BMO nonlinearity in a Reifenberg domain, assuming that the nonlinearity has sufficiently small BMO seminorm and that the boundary of the domain is sufficiently flat.

Regularity theory

BMO space

Maximal function

Elliptic equations

Details

Title: Subtitle: Elliptic equations with BMO nonlinearity in Reifenberg domains
Creators: Sun-Sig Byun - Department of Mathematical Sciences, Seoul National University, Seoul 151-747, Republic of Korea
Lihe Wang - Department of Mathematics, University of Iowa, Iowa City, IA 52242, USA
Resource Type: Journal article
Publication Details: Advances in mathematics (New York. 1965), Vol.219(6), pp.1937-1971
DOI: 10.1016/j.aim.2008.07.016
ISSN: 0001-8708
eISSN: 1090-2082
Publisher: Elsevier Inc
Language: English
Date published: 2008
Academic Unit: Mathematics
Record Identifier: 9984083298702771

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