Lower semicontinuity of Kirchhoff-type energy functionals and spectral gaps on (sub)Riemannian manifolds
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Published:2023-07-16
Issue:
Volume:
Page:1-18
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ISSN:1230-3429
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Container-title:Topological Methods in Nonlinear Analysis
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language:
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Short-container-title:TMNA
Author:
Farkas Csaba,Kajántó Sándor,Varga Csaba
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.
Publisher
Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University
Subject
Applied Mathematics,Analysis