On the Generalization of a Multiplicity Result

Galewski, Marek

doi:10.3390/math10060916

Open AccessArticle

On the Generalization of a Multiplicity Result

by

Marek Galewski

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

Mathematics 2022, 10(6), 916; https://doi.org/10.3390/math10060916

Submission received: 31 January 2022 / Revised: 3 March 2022 / Accepted: 10 March 2022 / Published: 13 March 2022

(This article belongs to the Special Issue Nonlinear Functional Analysis and Its Applications 2021)

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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

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Galewski, M. On the Generalization of a Multiplicity Result. Mathematics 2022, 10, 916. https://doi.org/10.3390/math10060916

AMA Style

Galewski M. On the Generalization of a Multiplicity Result. Mathematics. 2022; 10(6):916. https://doi.org/10.3390/math10060916

Chicago/Turabian Style

Galewski, Marek. 2022. "On the Generalization of a Multiplicity Result" Mathematics 10, no. 6: 916. https://doi.org/10.3390/math10060916

APA Style

Galewski, M. (2022). On the Generalization of a Multiplicity Result. Mathematics, 10(6), 916. https://doi.org/10.3390/math10060916

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On the Generalization of a Multiplicity Result

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