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韩英波, 方联银, 李〓静. 带位势的弱 F ⁃调和映照的单调公式[J]. 信阳师范学院学报(自然科学版), 2016, 29(2): 165-170. DOI: 10.3969/j.issn.1003-0972.2016.02.003
引用本文: 韩英波, 方联银, 李〓静. 带位势的弱 F ⁃调和映照的单调公式[J]. 信阳师范学院学报(自然科学版), 2016, 29(2): 165-170. DOI: 10.3969/j.issn.1003-0972.2016.02.003
shu
HAN Yingbo , FANG Lianyin , LI Jing . Monotonicity Formulas of Weakly F-harmonic Map with Potential[J]. Journal of Xinyang Normal University (Natural Science Edition), 2016, 29(2): 165-170. DOI: 10.3969/j.issn.1003-0972.2016.02.003
Citation: HAN Yingbo , FANG Lianyin , LI Jing . Monotonicity Formulas of Weakly F-harmonic Map with Potential[J]. Journal of Xinyang Normal University (Natural Science Edition), 2016, 29(2): 165-170. DOI: 10.3969/j.issn.1003-0972.2016.02.003
shu

带位势的弱 F ⁃调和映照的单调公式

Monotonicity Formulas of Weakly F-harmonic Map with Potential

    摘要
  • 摘要: 根据 E F,H (u)引入带位势 H 的弱 F⁃调和映照的定义.利用应力⁃能量张量方法,在位势 H 若干条件及出发流形的曲率条件下,得到弱 F⁃调和映照的一些单调公式及刘维尔型结果.

     

    Abstract: The definition of weakly  F-harmonic map with potential H with respect to the functional EF,H(u) was introduced. By using the stress-energy tensor, some monotonicity formulas and Liouville type results were obtained for these maps under conditions on H and the curvature conditions of the domain manifold. 

     

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