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
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Sprache:eng
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