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Nonlinear elliptic equations with BMO coefficients in Reifenberg domains

Authors :
Byun, Sun-Sig
Wang, Lihe
Zhou, Shulin
Source :
Journal of Functional Analysis. Sep2007, Vol. 250 Issue 1, p167-196. 30p.
Publication Year :
2007

Abstract

Abstract: We develop a unifying method to obtain the interior and boundary estimates for the weak solution of a nonlinear elliptic partial differential equation of p-Laplacian type with BMO coefficients in a δ-Reifenberg flat domain. Our results greatly improve the known results for such equations. [Copyright &y& Elsevier]

Subjects

Subjects :
*ELLIPTIC differential equations
*MAXIMAL functions
*BOUNDED mean oscillation
*DIFFERENTIAL equations

Details

Language :
English
ISSN :
00221236
Volume :
250
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Functional Analysis
Publication Type :
Academic Journal
Accession number :
25952783
Full Text :
https://doi.org/10.1016/j.jfa.2007.04.021
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