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Finsler metrics and action potentials |
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| Authors: | Renato Iturriaga Hé ctor Sá nchez-Morgado |
| Institution: | CIMAT, A.P. 402, 36000, Guanajuato. Gto., México ; Instituto de Matemáticas, UNAM, Ciudad Universitaria, C. P. 04510, México, DF, México |
| Abstract: | We study the behavior of Mañé's action potential |
| Keywords: | |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
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associated to a convex superlinear Lagrangian, for 
bigger than the critical value 
. We obtain growth estimates for the action potential as a function of 
. We also prove that the action potential can be written as 
where 
is a smooth function and 
is the distance function associated to a Finsler metric.