On the Generalization of a Multiplicity Result

Marek Galewski
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Marek Galewski: Institute of Mathematics, Lodz University of Technology, al. Politechniki 8, 93-590 Lodz, Poland

Mathematics, 2022, vol. 10, issue 6, 1-6

Abstract: In this work, we shifted a recent multiplicity result by B. Ricceri from a Hilbert space to a Banach space setting by making use of a duality mapping relative to some increasing function. Using the min–max arguments, we provide conditions for an action functional to have at least two global minima.

Keywords: multiplicity; min–max; duality mapping (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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