The reverse H?lder type inequalities for generalized  A-harmonic tensors
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    Abstract:

    The reverse H?lder type inequality for A-harmonic equations is a very important tool to discuss the integrability for solutions to these equations. In the present paper we dealt with a kind of generalized homogeneous A-harmonic equations formulated by d*A(x,κ(u-uΩ),du)=0.The reverse H?lder type inequality were established for the weak solution u of these equations, very similar to the traditional one. The results obtained here for the special cases of κ=0 can lead to the corresponding situation considered before now, which can be regarded as the foundation for studying the regularity and integrability to this kind of equations.

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History
  • Received:March 09,2012
  • Revised:
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  • Online: November 05,2012
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