TY - JOUR T1 - The Isoenergy Inequality for Harmonic Maps from Rotational Symmetric Manifolds 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):