| Hlder continuity for solutions of elltptic equations involving measures |
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| 作者姓名： | Liang Xiting Lu Youwen |
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| 作者单位： | Liang Xiting; Lu Youwen(Dept. of Math.，Zhongshan University，Guangzhou 510275 )(Dept. of Math.，Tianjin Norm. University，Tianjin 300073) |
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| 摘 要： | 1IntroductionLetGbeaboundeddomaininthen-dimensionalEuclideanspaceE".ItwasshownbylJ'M'RakotosonandW'P'Ziemerint13'thattheellipticequationinvolvingmeasurep-dit)A(x,u,7u) B(x,u,7u)=p,inG(l.1)isdeducedbysolvingvariationalinequalityinvolvingsameellipticdifferentialoperator.WenowconsiderthecasethatA(x,u,E)andB(x,u,E)sat1sfythefollowingrnoregeneralstructural(excepttheyaredefinedonGXE1XE",measurableinxandcontinuousinuandE)wherein(l.2)andthereexistconstantsL>O,0rA
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| 关 键 词： | degenerate elliptic equation generalized solution bounded solution H■lder continuity |
H■lder continuity for solutions of elltptic equations involving measures |
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| Liang Xiting, Lu Youwen.H■lder continuity for solutions of elltptic equations involving measures[J].Journal of Huaihua University,1996(5). |
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| Authors: | Liang Xiting Lu Youwen |
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| Abstract: | The Hoider continuity is proved to bounded solutions of degenerate elliptic e-quations involving measures. The structural conditions of the equation are more general and therestrictions on the structural coofficients are weaker. |
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| Keywords: | degenerate elliptic equation generalized solution bounded solution H■lder continuity |
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