Gradient estimation of a \(p\)-harmonic map
Electronic journal of differential equations, Tome 2010 (2010)
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.
Classification :
35J70, 49J20, 58G18
Keywords: gradient estimate, p-harmonic map, spherical coordinates
Keywords: gradient estimate, p-harmonic map, spherical coordinates
@article{EJDE_2010__2010__a149,
author = {Wang, Bei and Ma, Li},
title = {Gradient estimation of a \(p\)-harmonic map},
journal = {Electronic journal of differential equations},
year = {2010},
volume = {2010},
zbl = {1186.35085},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a149/}
}
Wang, Bei; Ma, Li. Gradient estimation of a \(p\)-harmonic map. Electronic journal of differential equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a149/