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

Shenzhou Zheng; Laping Zhang; Zhaosheng Feng

doi:10.3934/cpaa.2008.7.107

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2008, Volume 7, Issue 1: 107-117. Doi: 10.3934/cpaa.2008.7.107

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

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

Received: January 2007

Revised: June 2007

Published: January 2008

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Abstract

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.

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Mathematics Subject Classification: Primary: 35J60, 35B65; Secondary: 35J45.

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