A critical point theorem in bounded convex sets and localization of Nash-type equilibria of nonvariational systems

DOI10.1016/j.jmaa.2018.03.035zbMath1388.58008OpenAlexW2792154150WikidataQ130095336 ScholiaQ130095336MaRDI QIDQ1746775

Radu Precup

Publication date: 25 April 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.03.035

zbMATH Keywords

critical pointEkeland's principlepositive solutionmultiple solutionsperiodic problemNash-type equilibrium

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational principles in infinite-dimensional spaces (58E30) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (4)

Nash-type equilibria for systems of non-potential equations ⋮ Linking methods for componentwise variational systems ⋮ Nash‐type equilibria for systems of partially potential nonlinear equations ⋮ Fixed point-critical point hybrid theorems and application to systems with partial variational structure

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