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Generalized Euler–Lagrange Equations for Variational Problems with Scale Derivatives

2010/03/16 by Ricardo Almeida, Delfim F. M. Torres · 1 citation
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations #math-ph #math.MP #math.OC #msc:26B05 #msc:39A12 #msc:49K05

paper · pdf · doi:10.1007/s11005-010-0385-5

published as Lett. Math. Phys. 92 (2010), no. 3, 221--229 · Submitted on 03-Aug-2009; accepted for publication 16-March-2010; in "Letters in Mathematical Physics".

arxiv created 2010/03/16 · openalex publication_date 2010/03/25 · arxiv updated 2010/06/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We obtain several Euler-Lagrange equations for variational functionals defined on a set of Hölder curves. The cases when the Lagrangian contains multiple scale derivatives, depends on a parameter, or contains higher-order scale derivatives are considered.

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