Doubling the equatorial for the prescribed scalar curvature problem on
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s00030-023-00845-z https://dlib.phenikaa-uni.edu.vn/handle/PNK/7577 |
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oai:localhost:PNK-75772023-04-05T07:35:15Z Doubling the equatorial for the prescribed scalar curvature problem on Lipeng, Duan Monica, Musso Suting, Wei CC BY We consider the prescribed scalar curvature problem on SNΔSNv−N(N−2)2v+K~(y)vN+2N−2=0 on SN,v>0in SN, under the assumptions that the scalar curvature K~ is rotationally symmetric, and has a positive local maximum point between the poles. We prove the existence of infinitely many non-radial positive solutions, whose energy can be made arbitrarily large. These solutions are invariant under some non-trivial sub-group of O(3) obtained doubling the equatorial. We use the finite dimensional Lyapunov–Schmidt reduction method. 2023-04-05T07:35:15Z 2023-04-05T07:35:15Z 2023 Book https://link.springer.com/article/10.1007/s00030-023-00845-z https://dlib.phenikaa-uni.edu.vn/handle/PNK/7577 en application/pdf Springer |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| description |
CC BY |
| format |
Book |
| author |
Lipeng, Duan Monica, Musso Suting, Wei |
| spellingShingle |
Lipeng, Duan Monica, Musso Suting, Wei Doubling the equatorial for the prescribed scalar curvature problem on |
| author_facet |
Lipeng, Duan Monica, Musso Suting, Wei |
| author_sort |
Lipeng, Duan |
| title |
Doubling the equatorial for the prescribed scalar curvature problem on |
| title_short |
Doubling the equatorial for the prescribed scalar curvature problem on |
| title_full |
Doubling the equatorial for the prescribed scalar curvature problem on |
| title_fullStr |
Doubling the equatorial for the prescribed scalar curvature problem on |
| title_full_unstemmed |
Doubling the equatorial for the prescribed scalar curvature problem on |
| title_sort |
doubling the equatorial for the prescribed scalar curvature problem on |
| publisher |
Springer |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1007/s00030-023-00845-z https://dlib.phenikaa-uni.edu.vn/handle/PNK/7577 |
| _version_ |
1762365503703089152 |
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8.893527 |