Bei Wang, Li Ma
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
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| Bei Wang |
Department of Mathematics
Jiangsu Institute of Education
Nanjing, 210013, China
| Li Ma |
Institute of Science
PLA University of Science and Technology
Nanjing, 211101, China
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