On Kirchhoff type problems with singular nonlinearity in closed manifolds

This paper dealt with a class of Kirchhoff type equations involving singular nonlinearity in a closed Riemannian manifold $ (M, g) $ of dimension $ n\ge3 $. Existence and uniqueness of a positive weak solution were obtained under certain assumptions with the help of the variation methods and some an...

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Veröffentlicht in:AIMS mathematics 2024-01, Vol.9 (8), p.21397-21413
Hauptverfasser: Chen, Nanbo, Liang, Honghong, Liu, Xiaochun
Format: Artikel
Sprache:eng
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Zusammenfassung:This paper dealt with a class of Kirchhoff type equations involving singular nonlinearity in a closed Riemannian manifold $ (M, g) $ of dimension $ n\ge3 $. Existence and uniqueness of a positive weak solution were obtained under certain assumptions with the help of the variation methods and some analysis techniques.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.20241039