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FINSLER METRICS AND ACTION POTENTIALS RENATO ITURRIAGA AND H'ECTOR S'ANCHEZ-MORGADO
 

Summary: 



FINSLER METRICS AND ACTION POTENTIALS



RENATO ITURRIAGA AND H'ECTOR S'ANCHEZ-MORGADO



Abstract. We study the behavior of Ma"n'e's action potential k associat*
*ed to a
convex superlinear Lagrangian, for k bigger than the critical value c(L)*
* . We obtain
growth estimates of the action potential as function of k. We prove that*
* the action
potential can be written as k(x, y) = DF(x, y) + f(y) - f(x) where f is*
* a smooth

  

Source: Acevedo, Renato Iturriaga - Centro de Investigación en Matemáticas (CIMAT)

 

Collections: Mathematics