期刊论文详细信息
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 卷:463
A critical point theorem in bounded convex sets and localization of Nash-type equilibria of nonvariational systems
Article
Precup, Radu1 
[1] Babes Bolyai Univ, Dept Math, Cluj Napoca, Romania
关键词: Critical point;    Nash-type equilibrium;    Ekeland's principle;    Periodic problem;    Positive solution;    Multiple solutions;   
DOI  :  10.1016/j.jmaa.2018.03.035
来源: Elsevier
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【 摘 要 】

The localization of a critical point of minimum type of a smooth functional is obtained in a bounded convex conical set defined by a norm and a concave upper semicontinuous functional. A vector version is also given in order to localize cornponentwise solutions of variational systems. The technique is then used for the localization and multiplicity of Nash-type positive equilibria of nonvariational systems. Applications are given to periodic problems. (C) 2018 Elsevier Inc. All rights reserved.

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