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- W4283736374 abstract "In this note, we give the affirmative answer of the question in [18], which is a compactness result of the non-radial Sobolev spaces. As an application, we show the existence of an extremal function of the critical Hardy inequality under spherical average zero. Next, we give an improvement of the compactness results of the radial Sobolev spaces in [8]. In Appendix, we give an alternative proof of Hardy type inequalities under spherical average zero." @default.
- W4283736374 created "2022-07-01" @default.
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- W4283736374 date "2022-06-28" @default.
- W4283736374 modified "2023-10-17" @default.
- W4283736374 title "On the compactness of the (non)radial Sobolev spaces" @default.
- W4283736374 doi "https://doi.org/10.48550/arxiv.2206.13775" @default.
- W4283736374 hasPublicationYear "2022" @default.
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