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Second-Order Elliptic Equations of Nondivergence Form with Small BMO Coefficients in ℝn

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Abstract

In this paper we obtain the global regularity estimates in Orlicz spaces for second-order elliptic equations of nondivergence form with small BMO coefficients in ℝn. As a corollary we obtain L p-type regularity for such equations. Our results improve the known results for such problems.

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  1. Department of Mathematics, Shanghai University, Shanghai, 200444, China

    Fengping Yao

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  1. Fengping Yao
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Correspondence to Fengping Yao.

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Yao, F. Second-Order Elliptic Equations of Nondivergence Form with Small BMO Coefficients in ℝn . Potential Anal 36, 557–568 (2012). https://doi.org/10.1007/s11118-011-9240-2

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  • DOI: https://doi.org/10.1007/s11118-011-9240-2

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