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 | Items with full text/Total items : 113648/144635 (79%)
Visitors : 51587101 Online Users : 948

RC Version 6.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.

Home ‧ Login ‧ Upload ‧ Help ‧ About ‧ Administer

政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 > Item 140.119/120129

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/120129

Title:	On nonexistence results for some integro-differential equations of elliptic type
Authors:	蔡隆義 Tsai, Long-Yi 吳水利 Wu, Shui Li
Contributors:	應數系
Date:	1993-12
Issue Date:	2018-09-25 16:22:57 (UTC+8)
Abstract:	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.
Relation:	Chinese Journal of Mathematics,21(4),349-385 AMS MathSciNet:MR1247556
Data Type:	article
Appears in Collections:	[應用數學系] 期刊論文

Files in This Item:

File	Description	Size	Format
index.html		0Kb	HTML2	330	View/Open

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.

Loading...