Regularity theory in Orlicz spaces for elliptic equations in Reifenberg domains |
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| Authors: | Huilian Jia Dongsheng Li |
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| Affiliation: | a Department of Mathematics, School of Science, Xi'An Jiaotong University, Xi'An, Shaanxi 710049, China
b University of Iowa, Department of Mathematics, 15 MLH, Iowa City, IA 52242-1419, USA |
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| Abstract: | In this paper, we establish the global estimates for divergence form elliptic equations in the Orlicz space L?(Ω), where Ω is a bounded Reifenberg domain in Rn. Our result generalizes the W1,p estimates. |
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| Keywords: | Vitali covering lemma Reifenberg flat domain Compactness method Maximal function |
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