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Doubling the equatorial for the prescribed scalar curvature problem on

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Main Authors: Lipeng, Duan, Monica, Musso, Suting, Wei
Format: Book
Language:English
Published: Springer 2023
Online Access:https://link.springer.com/article/10.1007/s00030-023-00845-z
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7577
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spelling 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
score 8.891787

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