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Horizontal convex envelope in the Heisenberg group and applications to sub-elliptic equations
https://oist.repo.nii.ac.jp/records/2607
https://oist.repo.nii.ac.jp/records/2607cfdf6375-5758-4adc-b3f4-d6e4f13b8bb0
名前 / ファイル | ライセンス | アクション |
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envelopePDE0424-am (400.2 kB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2022-03-29 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Horizontal convex envelope in the Heisenberg group and applications to sub-elliptic equations | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Heisenberg group | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | h-convex | |||||
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× Zhou, Xiaodan |
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書誌情報 |
en : ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE 巻 22, 号 4, p. 2039-2076, 発行日 2021-12-22 |
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抄録 | ||||||
内容記述タイプ | Other | |||||
内容記述 | This paper introduces in a natural way a notion of horizontal convex envelopes of continuous functions in the Heisenberg group. We provide a convexification process to find the envelope in a constructive manner. We also apply the convexification process to show h-convexity of viscosity solutions to a class of fully nonlinear elliptic equations in the Heisenberg group satisfying a certain symmetry condition. Our examples show that in general one cannot expect h-convexity of solutions without the symmetry condition. | |||||
出版者 | ||||||
出版者 | Scuola Normale Superiore | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 2036-2145 | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0391-173X | |||||
DOI | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | DOI | |||||
関連識別子 | info:doi/10.2422/2036-2145.201907_001 | |||||
権利 | ||||||
権利情報 | © 2022 The Author(s) | |||||
関連サイト | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://journals.sns.it/index.php/annaliscienze/article/view/886 | |||||
著者版フラグ | ||||||
出版タイプ | AM | |||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa |