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Regularity for anisotropic solutions to some nonlinear elliptic system |
Hongya GAO( ),Shuang LIANG,Yi CUI |
| College of Mathematics and Information Science, Hebei University, Baoding 071002, China |
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Abstract This paper deals with anisotropic solutions u∈W1,(pi)(Ω,?N) to the nonlinear elliptic system −Σi=1nDi(aiα(χ,Du(χ)))=−Σi=1nDiFiα(χ), α=1,2,...,N, We present a monotonicity inequality for the matrix a=(aiα)∈?N×n,whichguarantees global pointwise bounds for anisotropic solutionsu.
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| Keywords
Regularity
anisotropic solution
nonlinear elliptic system
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Corresponding Author(s):
Hongya GAO
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Issue Date: 02 December 2015
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