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2021 Componentwise localization of critical points for functionals defined on product spaces
Radu Precup
Topol. Methods Nonlinear Anal. 58(1): 51-77 (2021). DOI: 10.12775/TMNA.2021.007

Abstract

A new notion of linking is introduced to treat minima as minimax points in a unitary way. Critical points are located in conical annuli making possible to obtain multiplicity. For functionals defined on a Cartesian product, the localization of critical points is given on components and the variational properties of the components can differ, part of them being of minimum type, others of mountain pass type.

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Radu Precup. "Componentwise localization of critical points for functionals defined on product spaces." Topol. Methods Nonlinear Anal. 58 (1) 51 - 77, 2021. https://doi.org/10.12775/TMNA.2021.007

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Published: 2021
First available in Project Euclid: 21 September 2021

Digital Object Identifier: 10.12775/TMNA.2021.007

Rights: Copyright © 2021 Juliusz P. Schauder Centre for Nonlinear Studies

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Vol.58 • No. 1 • 2021
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