Abstract
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 componentwise 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.
Authors
Radu Precup
Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania
Keywords
Paper coordinates
R. Precup, A critical point theorem in bounded convex sets and localization of Nash-type equilibria of nonvariational systems, J. Math. Anal. Appl. 463 (2018), 412-431, https://doi.org/10.1016/j.jmaa.2018.03.035
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About this paper
Journal
Journal of Mathematical Analysis and Applications
Publisher Name
Elsevier
Print ISSN
Online ISSN
0022-247X
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