Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 30, pp. 1-6.

Title: Gradient estimation of a p-harmonic map
       
Authors: Bei Wang (Jiangsu Institute of Education, China)
         Li Ma (PLA Univ. of Science and Tech., Nanjing, China)

Abstract:
 This article presents L^p estimates for the gradient of
 p-harmonic maps. Since the system satisfies a natural growth
 condition, it is difficult to use standard elliptic estimates.
 We use spherical coordinates to convert the system into another
 system with angle functions. The new system can be
 estimate by the standard elliptic technique.

Submitted June 18, 2009. Published February 26, 2010.
Math Subject Classifications: 35J70, 49J20, 58G18.
Key Words: Gradient estimate; p-harmonic map; spherical coordinates