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REGULARITY FOR CERTAIN QUASILINEAR ELLIPTIC SYSTEMS OF DIVERGENCE STRUCTURE

REGULARITY FOR CERTAIN QUASILINEAR ELLIPTIC SYSTEMS OF DIVERGENCE STRUCTURE
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摘要 The regularity of the gradient of Holder continuous solutions of quasi-linear elliptic systems of the form -Dj(aij(x,u,Du)Diuk)=-Difki=gk is investigated. Partial regularity and ε-regularity are shown to hold under the structural assumption -Dj(aij(x,u,Du))=hi∈L∞ The regularity of the gradient of Holder continuous solutions of quasi-linear elliptic systems of the form -Dj(aij(x,u,Du)Diuk)=-Difki=gk is investigated. Partial regularity and ε-regularity are shown to hold under the structural assumption -Dj(aij(x,u,Du))=hi∈L∞
出处 《Acta Mathematica Scientia》 SCIE CSCD 2001年第2期196-202,共7页 数学物理学报(B辑英文版)
基金 Supported by NNSF of China (19531060) by the National Educational Committee's Doctor Program Funds of China (97024811).
关键词 Partial regulrity ε-regularity and elliptic systems Partial regulrity, ε-regularity and elliptic systems
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二级参考文献1

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