Hardy–Sobolev equation with negative power and sign-changing nonlinearity on closed manifolds

Hardy–Sobolev equation with negative power and sign-changing nonlinearity on closed manifolds

We study a class of Hardy-Sobolev equations containing both sign-changing and negative power terms on closed Riemannian manifolds. With the help of a modified Nehari manifold method and some variational techniques, the existence and multiplicity of positive weak solutions are established, along with...

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Veröffentlicht in:Journal of pseudo-differential operators and applications 2024-09, Vol.15 (3), Article 58
Hauptverfasser: Chen, Nanbo, Liang, Honghong, Huang, Zhihua, Liu, Xiaochun
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Applications of Mathematics
Functional Analysis
Mathematics
Mathematics and Statistics
Operator Theory
Partial Differential Equations
Riemann manifold
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Zusammenfassung:We study a class of Hardy-Sobolev equations containing both sign-changing and negative power terms on closed Riemannian manifolds. With the help of a modified Nehari manifold method and some variational techniques, the existence and multiplicity of positive weak solutions are established, along with blow-up behavior analysis.
ISSN:1662-9981
1662-999X
DOI:10.1007/s11868-024-00630-1