Geodesic
Asimptotics of contrast extremals in simplest vector variational problem
Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 4, pp. 1165-1178.

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We investigate contrast structures “trajectories with inner and outer boundary layers” in simplest vector variational problem. We prove that spike structures are connected with the points of local maximum and passage structures — with points of global maximum of some characteristic functional. 
@article{FPM_1998_4_4_a2,
     author = {M. G. Dmitriev and Ni Ming Kang},
     title = {Asimptotics of contrast extremals in simplest vector variational problem},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {1165--1178},
     publisher = {mathdoc},
     volume = {4},
     number = {4},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1998_4_4_a2/}
}
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M. G. Dmitriev; Ni Ming Kang. Asimptotics of contrast extremals in simplest vector variational problem. Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 4, pp. 1165-1178. http://geodesic.mathdoc.fr/item/FPM_1998_4_4_a2/