政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/120129
English  |  正體中文  |  简体中文  |  Post-Print筆數 : 27 |  全文筆數/總筆數 : 109952/140887 (78%)
造訪人次 : 46295778      線上人數 : 1226
RC Version 6.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.
搜尋範圍 查詢小技巧：
  • 您可在西文檢索詞彙前後加上"雙引號"，以獲取較精準的檢索結果
  • 若欲以作者姓名搜尋，建議至進階搜尋限定作者欄位，可獲得較完整資料
    •  進階搜尋
    政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 >  Item 140.119/120129


    請使用永久網址來引用或連結此文件: https://nccur.lib.nccu.edu.tw/handle/140.119/120129


    題名: On nonexistence results for some integro-differential equations of elliptic type
    作者: 蔡隆義
    Tsai, Long-Yi
    吳水利
    Wu, Shui Li
    貢獻者: 應數系
    日期: 1993-12
    上傳時間: 2018-09-25 16:22:57 (UTC+8)
    摘要: The authors consider the following equations: $$\\Delta u=k(x)h(u)+H(x)\\int_{\\bold R^n}a(y)q(u(y))\\,dy\\tag1$$

    in $\\bold R^n$ $(n\\geq 2, \\Delta$ a Laplacian operator), with $h,q$ convex, $K$, $H$ locally Hölder continuous and nonnegative; $$\
    abla \\cdot[g(|\
    abla u|)\
    abla u]=K(|x|)h(u)+H(|x|)\\int_{\\bold R^n}a(|y|)q(u(y))\\,dy,\\tag2$$

    where $g$ takes values in some bounded interval $[0,x]$ and its main property is $(pg(p))`>0$.
    Their goal is to prove that in both cases no positive and bounded solution exists under additional assumptions. For instance, adding some requirement on the functions $q,h$, it is shown that there is no positive solution of $(1)$ such that its average over $|x|=r$ has a prescribed limit for $r\\to 0$.
    The authors prove several theorems of this type. These results are obtained through a series of lower estimates on the average of $u$ which eventually are shown to be inconsistent with the existence of any positive solution.
    關聯: Chinese Journal of Mathematics,21(4),349-385
    AMS MathSciNet:MR1247556
    資料類型: article
    顯示於類別:[應用數學系] 期刊論文

    文件中的檔案:

    檔案 描述 大小格式瀏覽次數
    index.html0KbHTML2264檢視/開啟


    在政大典藏中所有的資料項目都受到原著作權保護.


    社群 sharing

    著作權政策宣告 Copyright Announcement
    1.本網站之數位內容為國立政治大學所收錄之機構典藏，無償提供學術研究與公眾教育等公益性使用，惟仍請適度，合理使用本網站之內容，以尊重著作權人之權益。商業上之利用，則請先取得著作權人之授權。
    The digital content of this website is part of National Chengchi University Institutional Repository. It provides free access to academic research and public education for non-commercial use. Please utilize it in a proper and reasonable manner and respect the rights of copyright owners. For commercial use, please obtain authorization from the copyright owner in advance.

    2.本網站之製作，已盡力防止侵害著作權人之權益，如仍發現本網站之數位內容有侵害著作權人權益情事者，請權利人通知本網站維護人員(nccur@nccu.edu.tw)，維護人員將立即採取移除該數位著作等補救措施。
    NCCU Institutional Repository is made to protect the interests of copyright owners. If you believe that any material on the website infringes copyright, please contact our staff(nccur@nccu.edu.tw). We will remove the work from the repository and investigate your claim.
    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library IR team Copyright ©   - 回饋