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

Jiang Ming

DOI:

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

Published online: 1992-05

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  • 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.

  • Keywords

Ky Fan's inequality quasiconvexity degree Caccioppoli's inequality

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COPYRIGHT: © Global Science Press

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@Article{JPDE-5-1, author = {Jiang Ming}, title = {Nash Point Equilibria in the Calculus of Variations}, journal = {Journal of Partial Differential Equations}, year = {1992}, volume = {5}, number = {3}, pages = {1--20}, 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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5741.html} }
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://dor.org/ UR - https://global-sci.org/intro/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.
Jiang Ming. (1970). Nash Point Equilibria in the Calculus of Variations. Journal of Partial Differential Equations. 5 (3). 1-20. doi:
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