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一类拟线性椭圆型方程很弱解的局部正则性 被引量:8

LOCAL REGULARITY RESULT OF VERY WEAK SOLUTIONS FOR A CLASS OF QUASILINEAR ELLIPTIC EQUATION
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摘要 本文考虑一类拟线性椭圆型方程的很弱解。使用Hodge分解等工具,得到了其局部正则性,推广了[1]之结果。 This paper considers the very weak solutions of a class of quasilinear elliptic equation. The local regularity result is obtained by using the method of Hodge decomposition.
出处 《应用数学学报》 CSCD 北大核心 2003年第2期208-213,共6页 Acta Mathematicae Applicatae Sinica
关键词 拟线性散度型椭圆方程 很弱解 局部正则性 弱解 HODGE分解 试验函数 Quasilinear elliptic equation, very weak solution, local regularity, Hodge decomposition
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参考文献8

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同被引文献77

  • 1高红亚,叶玉全,谢素英.UNIQUENESS FOR SOLUTIONS OF NONHOMOGENEOUS A -HARMONIC EQUATIONS WITH VERY WEAK BOUNDARY VALUES[J].Journal of Shanghai Jiaotong university(Science),2001,6(1):78-80. 被引量:2
  • 2高红亚,李子植.一类散度型椭圆方程的很弱解[J].应用数学,2004,17(4):503-507. 被引量:2
  • 3高红亚,安敏.与A-调和方程有关的两个结果(英文)[J].应用数学,2005,18(1):148-152. 被引量:2
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  • 5方爱农.Thefinite deformation and Beltrami equation inRn.数学进展,1997,26(2):187-188.
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