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论文类型： 期刊论文

发表时间： 2017-01-15

发表刊物： JOURNAL OF FUNCTIONAL ANALYSIS

收录刊物： SCIE

卷号： 272

期号： 2

页面范围： 776-803

ISSN号： 0022-1236

关键字： Energy identity; Harmonic map; Hopf differential

摘要： Let u(n) be a sequence of mappings from a closed Riemannian surface M to a general Riemannian manifold N. If u(n) satisfies
   [GRAPHICS]
   (|| del u(n) || L-2(M) + || T(u(n)) || Lp(M)) <= Alpha for some p > 1,
   where T (u(n)) is the tension field of u(n), then the so called energy identity and neckless property hold during blowing up. This result is sharp by Parker's example, where the tension fields of the mappings from Riemannian surface are bounded in L-1 (M) but the energy identity fails. (C) 2016 Elsevier Inc. All rights reserved.