TY - JOUR T1 - Nash Point Equilibria in the Calculus of Variations AU - Jiang Ming JO - Journal of Partial Differential Equations VL - 3 SP - 1 EP - 20 PY - 1992 DA - 1992/05 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5741.html KW - Ky Fan's inequality KW - quasiconvexity KW - degree KW - Caccioppoli's inequality AB - 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.