caa a22 4500 386360340 CHVBK 20180307111913.0 cr unu---uuuuu 161130e198912 xx s 000 0 eng 10.1017/S0004972700017524 doi S0004972700017524 pii (NATIONALLICENCE)cambridge-10.1017/S0004972700017524 Blot Joël Faculté des Sciences de Limoges Départment de Mathématiques 123 Av. Albert Thomas 87060 Limoges Cedex France Calculus of variations in mean and convex Lagrangians, II [Elektronische Daten] [Joël Blot] We prove the Legendre Necessary Condition of the Calculus of Variations in Mean an arbitrary finite dimension. When the Lagrangian is convex, we establish that if the Euler-Lagrange equation possesses an almost periodic solution then it possesses periodic and constant solutions. We deduce from this fact various consequences on the structure of the set of almost periodic solutions. Copyright © Australian Mathematical Society 1989 Bulletin of the Australian Mathematical Society Cambridge University Press 40/3(1989-12), 457-463 0004-9727 40:3<457 1989 40 BAZ https://doi.org/10.1017/S0004972700017524 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0004972700017524 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Blot Joël Faculté des Sciences de Limoges Départment de Mathématiques 123 Av. Albert Thomas 87060 Limoges Cedex France NATIONALLICENCE 773 0- Bulletin of the Australian Mathematical Society Cambridge University Press 40/3(1989-12), 457-463 0004-9727 40:3<457 1989 40 BAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence SWISSBIB 386360340 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge