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Nonlinear elliptic equations with BMO coefficients in Reifenberg domains
Journal article   Open access   Peer reviewed

Nonlinear elliptic equations with BMO coefficients in Reifenberg domains

Sun-Sig Byun, Lihe Wang and Shulin Zhou
Journal of functional analysis, Vol.250(1), pp.167-196
2007
DOI: 10.1016/j.jfa.2007.04.021
url
https://doi.org/10.1016/j.jfa.2007.04.021View
Published (Version of record) Open Access

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.
Nonlinear elliptic equations [formula omitted] estimates BMO space Vitali covering lemma Maximal function Reifenberg domain

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