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一类非散度型椭圆方程解的局部W^(2,p)正则性 被引量：2

Local W^(2,p) Regularity for Some Elliptic Equations in Nondivergence Form
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摘要 本文得到了一类具有小BMO系数的非散度型椭圆方程解的局部W2,p(p≥2) 正则性结果,并给出了这个结果的一个应用． In this note, we will prove a result of local W^2p （p≥2） regularity for some elliptic equations in nondivergence form with coefficients in small BMO, and give an application of the result.
作者 王月山
机构地区 中国工程物理研究院北京研究生部
出处 《数学学报（中文版）》 SCIE CSCD 北大核心 2006年第3期709-720,共12页 Acta Mathematica Sinica：Chinese Series
基金 国家自然科学基金资助项目(10426029)
关键词 椭圆方程 BMO Cordes条件 W2 p正则性 elliptic equations BMO Cordes condition W^2,p regularity
分类号 O175.25 [理学—基础数学]
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参考文献15

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同被引文献12

  • 1BYUN S,WANG L H.Elliptic equations with BMO coefficients in Reifenberg domains[J].Comm Pure Appl Math,2004,57(10):1283-1310.
  • 2BYUN S.Elliptic equations with BMO coefficients in Lipschitz domains[J].Trans Amer Math Soc,2005,357(3):1025-1046.
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  • 8BYUN S,YAO F P,ZHOU S L.Gradient estimates in Orlicz space for nonlinear elliptic equations[J].J Funct Anal,2008,255(8):1851-1873.
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  • 10ACERBI E,MINGIONE G.Gradient estimates for a class of parabolic systems[J].Duke Math J,2007,136:285-320.

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数学学报（中文版）
2006年 第3期

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