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The fourth term of the asymptotic behavior near the boundary of a large solution to semilinear Poisson equation with double-power nonlinearity
https://hiroshima.repo.nii.ac.jp/records/2040749
https://hiroshima.repo.nii.ac.jp/records/2040749f04d0e65-be0c-491e-a400-c49460b5cd22
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
anly_45_2.pdf (302 KB)
Download is available from 2026/2/10.
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| Item type | デフォルト(1) | |||||||||
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| 公開日 | 2025-06-19 | |||||||||
| タイトル | ||||||||||
| タイトル | The fourth term of the asymptotic behavior near the boundary of a large solution to semilinear Poisson equation with double-power nonlinearity | |||||||||
| 言語 | en | |||||||||
| 作成者 |
Takimoto, Kazuhiro
× Takimoto, Kazuhiro
× Zhang, Yuxiao
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| アクセス権 | ||||||||||
| アクセス権 | embargoed access | |||||||||
| アクセス権URI | http://purl.org/coar/access_right/c_f1cf | |||||||||
| 権利情報 | ||||||||||
| 言語 | en | |||||||||
| 権利情報 | This is the accepted version of the following article: [Takimoto, Kazuhiro; Zhang, Yuxiao.2025."The fourth term of the asymptotic behavior near the boundary of a large solution to semilinear Poisson equation with double- power nonlinearity". ANALYSIS-INTERNATIONAL MATHEMATICAL JOURNAL OF ANALYSIS AND ITS APPLICATIONS.45(2).] The final version is published by De Gruyter at: [https://doi.org/10.1515/anly-2024-0095] © [2025] Walter de Gruyter GmbH, Berlin/Boston. This manuscript version is made available under De Gruyter’s self-archiving policy for non-commercial purposes only. | |||||||||
| 主題 | ||||||||||
| 言語 | en | |||||||||
| 主題Scheme | Other | |||||||||
| 主題 | Large solution | |||||||||
| 主題 | ||||||||||
| 言語 | en | |||||||||
| 主題Scheme | UDC | |||||||||
| 主題 | semilinear poisson equation | |||||||||
| 主題 | ||||||||||
| 言語 | en | |||||||||
| 主題Scheme | Other | |||||||||
| 主題 | double-power nonlinearity | |||||||||
| 主題 | ||||||||||
| 言語 | en | |||||||||
| 主題Scheme | Other | |||||||||
| 主題 | asymptotic behavior | |||||||||
| 内容記述 | ||||||||||
| 内容記述タイプ | Abstract | |||||||||
| 内容記述 | In this paper we extend our previous results on the asymptotic behavior near the boundary of a positive large solution to the semilinear Poisson equation with double-power nonlinearity Δu=up+αuq in a bounded smooth domain, where p>1, −1<q<p and α∈R. We obtain the fourth term of a solution u near the boundary for (p+1)/2≤q<p. | |||||||||
| 言語 | en | |||||||||
| 内容記述 | ||||||||||
| 内容記述タイプ | Other | |||||||||
| 内容記述 | The first author was supported by JSPS KAKENHI Grant Number JP22K03386. The second author was supported by JST SPRING Grant Number JPMJSP2132. | |||||||||
| 言語 | en | |||||||||
| 出版者 | ||||||||||
| 出版者 | De Gruyter | |||||||||
| 言語 | en | |||||||||
| 日付 | ||||||||||
| 日付 | 2026-02-10 | |||||||||
| 日付タイプ | Available | |||||||||
| 言語 | ||||||||||
| 言語 | eng | |||||||||
| 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 | |||||||||
| 出版タイプ | ||||||||||
| 出版タイプ | AM | |||||||||
| 出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||||||
| 関連情報 | ||||||||||
| 関連タイプ | isVersionOf | |||||||||
| 識別子タイプ | DOI | |||||||||
| 関連識別子 | https://doi.org/10.1515/anly-2024-0095 | |||||||||
| 助成情報 | ||||||||||
| 助成機関識別子タイプ | Crossref Funder | |||||||||
| 助成機関識別子タイプURI | https://doi.org/10.13039/501100001691 | |||||||||
| 助成機関名 | 日本学術振興会 | |||||||||
| 言語 | ja | |||||||||
| 助成機関名 | Japan Society for the Promotion of Science | |||||||||
| 言語 | en | |||||||||
| 研究課題番号URI | https://kaken.nii.ac.jp/ja/grant/KAKENHI-PROJECT-22K03386/ | |||||||||
| 研究課題番号 | 22K03386 | |||||||||
| 研究課題名 | k-Hessian方程式およびk-曲率方程式の解の定量的な性質と特異性の探究 | |||||||||
| 言語 | ja | |||||||||
| 研究課題名 | Analysis on Qualitative Properties and Singularities of Solutions to k-Hessian Equation and k-curvature Equation | |||||||||
| 言語 | en | |||||||||
| 収録物識別子 | ||||||||||
| 収録物識別子タイプ | ISSN | |||||||||
| 収録物識別子 | 0174-4747 | |||||||||
| 書誌情報 |
en : ANALYSIS-INTERNATIONAL MATHEMATICAL JOURNAL OF ANALYSIS AND ITS APPLICATIONS 巻 45, 号 2, p. none, 発行日 2025-02-10 |
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| 備考 | ||||||||||
| 言語 | en | |||||||||
| 値 | The full-text file will be made open to the public on [10 Feb 2026］ in accordance with publisher's 'Terms and Conditions for Self-Archiving' | |||||||||
