A note on p(x)-harmonic maps

This article is concerned with L^{p(x)} estimates of the gradient of p(x)-harmonic maps. It is known that p(x)-harmonic maps are the weak solutions of a system with natural growth conditions, but it is difficult to use the classical elliptic techniques to find gradient estimates. In this article...

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Bibliographic Details
Main Authors: Bei Wang, Yuze Cai
Format: Article
Language:English
Published: Texas State University 2013-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2013/263/abstr.html