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Volume 15, Issue 1
The Isoenergy Inequality for Harmonic Maps from Rotational Symmetric Manifolds

Xiaoxiang Jiao & Jiayu Li

J. Part. Diff. Eq., 15 (2002), pp. 1-6.

Published online: 2002-02

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  • 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):
  • Keywords

Harmonic Map isonergy inequality rotational symmetric manifold

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@Article{JPDE-15-1, author = {Xiaoxiang Jiao and Jiayu Li }, title = {The Isoenergy Inequality for Harmonic Maps from Rotational Symmetric Manifolds}, journal = {Journal of Partial Differential Equations}, year = {2002}, volume = {15}, number = {1}, pages = {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):}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5435.html} }
TY - JOUR T1 - The Isoenergy Inequality for Harmonic Maps from Rotational Symmetric Manifolds AU - Xiaoxiang Jiao & Jiayu Li JO - Journal of Partial Differential Equations VL - 1 SP - 1 EP - 6 PY - 2002 DA - 2002/02 SN - 15 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5435.html KW - Harmonic Map KW - isonergy inequality KW - rotational symmetric manifold AB - 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):
Xiaoxiang Jiao and Jiayu Li . (2002). The Isoenergy Inequality for Harmonic Maps from Rotational Symmetric Manifolds. Journal of Partial Differential Equations. 15 (1). 1-6. doi:
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