Monotonicity Formulas of $E_{F}$-Critical Maps with Potential |
Received:October 30, 2014 Revised:April 25, 2015 |
Key Words:
$E_F$-critical map with potential stress-energy tensor monotonicity formula
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Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11201400), Basic and Frontier Technology Reseach Project of Henan Province (Grant No.142300410433) and Project for Youth Teacher of Xinyang Normal University (Grant No.2014-QN-061). |
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Abstract: |
In this paper, we introduce the notion of $E_F$-critical map with potential with respect to the functional $E_{F,H}(u)$. By using the stress-energy tensor, we obtain some monotonicity formulas and vanishing results for these maps under conditions on $H$. |
Citation: |
DOI:10.3770/j.issn:2095-2651.2015.06.010 |
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