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Principal eigenvalue problem for infinity Laplacian in metric spaces
https://oist.repo.nii.ac.jp/records/2834
https://oist.repo.nii.ac.jp/records/2834520c3f63-0605-4567-b2b8-6226643b26e0
名前 / ファイル | ライセンス | アクション |
---|---|---|
Liu-2022-Principal eigenvalue problem for infi (3.6 MB)
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CC BY 4.0
Creative Commons Attribution 4.0 International (https://creativecommons.org/licenses/by/4.0/) |
Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2022-11-10 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Principal eigenvalue problem for infinity Laplacian in metric spaces | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | eigenvalue problems | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | metric spaces | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | infinity Laplacian | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | eikonal equation | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | viscosity solutions | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | journal article | |||||
著者(英) |
Liu, Qing
× Liu, Qing× Mitsuishi, Ayato |
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書誌情報 |
en : Advanced Nonlinear Studies 巻 22, 号 1, p. 548-573, 発行日 2022-10-25 |
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抄録 | ||||||
内容記述タイプ | Other | |||||
内容記述 | This article is concerned with the Dirichlet eigenvalue problem associated with the ∞-Laplacian in metric spaces. We establish a direct partial differential equation approach to find the principal eigenvalue and eigenfunctions in a proper geodesic space without assuming any measure structure. We provide an appropriate notion of solutions to the ∞-eigenvalue problem and show the existence of solutions by adapting Perron’s method. Our method is different from the standard limit process via the variational eigenvalue formulation for p-Laplacian in the Euclidean space. | |||||
出版者 | ||||||
出版者 | De Gruyter | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 2169-0375 | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1536-1365 | |||||
DOI | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | DOI | |||||
関連識別子 | info:doi/10.1515/ans-2022-0028 | |||||
権利 | ||||||
権利情報 | © 2022 Qing Liu and Ayato Mitsuishi | |||||
関連サイト | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://www.degruyter.com/document/doi/10.1515/ans-2022-0028/html | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 |