M. G. Dmitriev, Ni Ming Kang, Asimptotics of contrast extremals in simplest vector variational problem

Title: Asimptotics of contrast extremals in simplest vector variational problem
Authors: M. G. Dmitriev, Ni Ming Kang
Journal title: Fundam. Prikl. Mat.
Year: 1998
Issue: 4
Volume: 4
Pages: 1165–1178
Citation:

M. G. Dmitriev, Ni Ming Kang, “Asimptotics of contrast extremals in simplest vector variational problem”, Fundam. Prikl. Mat., 4:4 (1998), 1165–1178

Abstract:

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.