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 | |
【 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.
【 授权许可】
Free
【 预 览 】
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10_1016_j_jmaa_2018_03_035.pdf | 398KB | download |