The Isoenergy Inequality for Harmonic Maps from Rotational Symmetric Manifolds

The Isoenergy Inequality for Harmonic Maps from Rotational Symmetric Manifolds

Year:    2002

Journal of Partial Differential Equations, Vol. 15 (2002), Iss. 1 : pp. 1–6

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2002-JPDE-5435

Journal of Partial Differential Equations, Vol. 15 (2002), Iss. 1 : pp. 1–6

Published online:    2002-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    6

Keywords:    Harmonic Map