| 多重积分Nash平衡点的Lipschitz估计 |
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| 引用本文： | 简怀玉.多重积分Nash平衡点的Lipschitz估计[J].系统科学与数学,1997,17(2):097-102. |
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| 作者姓名： | 简怀玉 |
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| 作者单位： | 清华大学应用数学系!北京，100084 |
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| 摘 要： | 设F（p，q）和G（p，q）在无穷远点的邻域内是分别关于p和q的近似凸函数，且具有二次增长．考虑由F和G构成的一对定义在Soblev空间中的泛函．本文利用blowup技巧，证明了这样一对泛函的Nash平衡点实际上是Lipschitz连续的．
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| 关 键 词： | 多重积分-变分问题 Nash平衡点 Lipschitz估计 blowup技巧 |
LIPSCHITZ ESTIMATES OF NASH EQUILIBRIA FOR VARIATIONAL INTEGRALS |
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| Huai Yu JIAN.LIPSCHITZ ESTIMATES OF NASH EQUILIBRIA FOR VARIATIONAL INTEGRALS[J].Journal of Systems Science and Mathematical Sciences,1997,17(2):097-102. |
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| Authors: | Huai Yu JIAN |
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| Institution: | Department of Applied Mathematics, Tsinghua University, Beijing 100084 |
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| Abstract: | We study a kind of coupled functionals defined in a vector-valued SobolevSpace by a function F(p, q) which is convex and has square growth in p and a function G(p, q)which is convex and has square growth in q. By the use of the blow-up technique, we provethat the Nash equilibrium for these coupled functionals is Lipschitz continuous. |
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| Keywords: | Variational integrals Nash equilibrium Lipschitz estimate blow-up technique |
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