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A Proof For The Higher Integrability Of A-harmonic Functions

Posted on:2011-10-11Degree:MasterType:Thesis
Country:ChinaCandidate:N JiangFull Text:PDF
GTID:2120360308954330Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
This paper considers the higher integrability for A-harmonic funciton, which has strong background in physics and mechanics, and plays an important role in modern geo-metric function theory and nonlinear analysis. A simple proof for the higher integrability result of A-harmonic functions is given by using an inequality due to Carozza and Passarelli and the Sobolev space method, where the functioni A(χ,ξ) satisfies the following growth and coercivity condi-tions and the natural exponent p∈[n/(n-1),n).
Keywords/Search Tags:A-hamonic function, higher integrability, p-harmonic field, divcurl field, isoperimetric inequality
PDF Full Text Request
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