Monotonicity Formulas of $E_{F}$-Critical Maps with Potential
Received:October 30, 2014  Revised:April 25, 2015
Key Word: $E_F$-critical map with potential   stress-energy tensor   monotonicity formula  
Fund ProjectL: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).
Author NameAffiliation
Yingbo HAN College of Mathematics and Information Science, Xinyang Normal University, Henan 464000, P. R. China 
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      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 $H$.
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