# American Institute of Mathematical Sciences

January  2008, 7(1): 107-117. doi: 10.3934/cpaa.2008.7.107

## Everywhere regularity for P-harmonic type systems under the subcritical growth

 1 Department of Mathematics, Beijing Jiaotong University, Beijing 100044, China, China 2 Department of Mathematics, University of Texas-Pan American, Edinburg, TX 78541

Received  January 2007 Revised  June 2007 Published  October 2007

In the present paper, we show that the derivative of any weak solution of p-harmonic type system under the subcritical growth belongs to a local Hölder continuity space with certain Hölder exponent. This conclusion is sharp in the sense of lower-order item growth.
Citation: Shenzhou Zheng, Laping Zhang, Zhaosheng Feng. Everywhere regularity for P-harmonic type systems under the subcritical growth. Communications on Pure & Applied Analysis, 2008, 7 (1) : 107-117. doi: 10.3934/cpaa.2008.7.107
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