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Nash Point Equilibria in the Calculus of Variations
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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://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.
Jiang Ming. (1992). Nash Point Equilibria in the Calculus of Variations.
Journal of Partial Differential Equations. 5 (3).
1-20.
doi:
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