Electron. J. Diff. Equ., Vol. 2010(2010), No. 30, pp. 1-6.

Gradient estimation of a p-harmonic map

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

Show me the PDF file (190 KB), TEX file, and other files for this article.

Bei Wang
Department of Mathematics
Jiangsu Institute of Education
Nanjing, 210013, China
email: jsjywang@126.com
  Li Ma
Institute of Science
PLA University of Science and Technology
Nanjing, 211101, China
email: mary96@126.com

Return to the EJDE web page