Volume 5, Issue 3
Nash Point Equilibria in the Calculus of Variations

Jiang Ming

J. Part. Diff. Eq.,5(1992),pp.1-20

Preview Full PDF BiBTex 1 181
  • Abstract

In this paper, the theory of Nash point equilibria for variational functionals including the following topics: existence in convex and non-convex cases, the applications to P. D. E., and the partial regularity, is studied. In the non-convex case, for a class of functionals, it is shown that the non-trivial solutions of the related systems of Euler equations are exactly the local Nash point equilibria and the trivial solution can not be a Nash point equilibrium.

  • History

Published online: 1992-05

  • AMS Subject Headings

  • Cited by