a note on p(x)-harmonic maps
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ID: 247753
2013
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Abstract
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, we use the monotone inequality
to show that the minimum p(x)-energy can be expressed by the
L^{p(x)} norm of a gradient of a function Phi, which is a weak
solution of a single equation.
| Reference Key |
wang2013electronica
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|---|---|
| Authors | ;Bei Wang;Yuze Cai |
| Journal | icsoft 2006 - 1st international conference on software and data technologies, proceedings |
| Year | 2013 |
| DOI |
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