Acta mathematica scientia,Series A ›› 2003, Vol. 23 ›› Issue (2): 135-144.

• Articles • Previous Articles     Next Articles

 Quality for Very Weak Solutions to a Class\=of NonHomogeneous Aharmonic Systems

 ZHOU Shu-Qing, WEN Hai-Yang, FANG Hua-Jiang-   

  • Online:2003-04-25 Published:2003-04-25
  • Supported by:

    国家自然科学基金资助项目

Abstract:

Using Hodge decomposition theorem, the authors obtained that the very weak solutions to nonhomogeneous Aharmonic systems -D\-i(A\+\{ij\}(x,Du))+D\-if\-j\+i(x)=0, j=1, \:, mare weak solutions, furthermore, using Morrey space and Campanato  space method and homogenizationmethod, the authors obtained the very weak solutions to the systems are locally H[AKo¨D]lder continuous, and obtained the relationbetween the H[AKo¨D]lder continuous exponent μ and λ.

Key words: Nonhomogeneous Aharmonic systems, Hodge decomposition theorem, Morrey space, Campanato space, Homogenization method

CLC Number: 

  • 35J65
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