A nonintersection property for extremals of variational problems with vector-valued functions

  • Alexander J. Zaslavski

    Department of Mathematics, Technion-Israel Institute of Technology, 32000, Haifa, Israel

Abstract

In this work we study the structure of extremals of variational problems with vector-valued functions on . We show that if an extremal is not periodic, then the corresponding curve in the phase space does not intersect itself.

Cite this article

Alexander J. Zaslavski, A nonintersection property for extremals of variational problems with vector-valued functions. Ann. Inst. H. Poincaré Anal. Non Linéaire 23 (2006), no. 6, pp. 929–948

DOI 10.1016/J.ANIHPC.2006.01.002