2023 Lower semicontinuity of Kirchhoff-type energy functionals and spectral gaps on (sub)Riemannian manifolds
Csaba Farkas, Sándor Kajántó, Csaba Varga
Topol. Methods Nonlinear Anal. 61(2): 743-760 (2023). DOI: 10.12775/TMNA.2022.034

Abstract

In this paper we characterize the sequentially weakly lower semicontinuity of the parameter-depending energy functional associated with the critical Kirchhoff problem in context of (sub)Riemannian manifolds. We also present some spectral gap and convexity results.

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Csaba Farkas. Sándor Kajántó. Csaba Varga. "Lower semicontinuity of Kirchhoff-type energy functionals and spectral gaps on (sub)Riemannian manifolds." Topol. Methods Nonlinear Anal. 61 (2) 743 - 760, 2023. https://doi.org/10.12775/TMNA.2022.034

Information

Published: 2023
First available in Project Euclid: 11 September 2023

MathSciNet: MR4645823
Digital Object Identifier: 10.12775/TMNA.2022.034

Keywords: Critical Kirchhoff-type energy functional , Heisenberg groups , Riemannian manifolds , spectral gaps

Rights: Copyright © 2023 Juliusz P. Schauder Centre for Nonlinear Studies

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Vol.61 • No. 2 • 2023
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