The Isoenergy Inequality for Harmonic Maps from Rotational Symmetric Manifolds

Authors

  • Xiaoxiang Jiao & Jiayu Li

Keywords:

Harmonic Map;isonergy inequality;rotational symmetric manifold

Abstract

Let u be a harmonic map from a rotational symmetric manifold M and B a unit ball in M, let E(u|B) be the energy of the map u|B and E(u|∂B) the energy of the map u|∂B, then we obtain the relationship which is called the isoenergy inequality between E(u|B) and E(u|∂B):

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Published

2002-02-02

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Issue

Vol. 15 No. 1 (2002)

Section

Articles

How to Cite

The Isoenergy Inequality for Harmonic Maps from Rotational Symmetric Manifolds. (2002). Journal of Partial Differential Equations, 15(1), 1-6. https://global-sci.com/index.php/jpde/article/view/3983