[1]尚旭东,张吉慧.具有低阶项的非局部椭圆及抛物问题的正解(英文)[J].南京师大学报(自然科学版),2008,31(02):8-12.
　Shang Xudong,Zhang Jihui.Positive Solutions of Elliptic and Parabolic Problems With Nonlocal Lower Order Terms[J].Journal of Nanjing Normal University(Natural Science Edition),2008,31(02):8-12.
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具有低阶项的非局部椭圆及抛物问题的正解(英文)()
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《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

卷:
第31卷
期数:
2008年02期
页码:
8-12
栏目:
数学
出版日期:
2008-06-30

文章信息/Info

Title:
Positive Solutions of Elliptic and Parabolic Problems With Nonlocal Lower Order Terms
作者:
尚旭东;张吉慧;
南京师范大学数学与计算机科学学院, 江苏南京210097
Author(s):
Shang Xudong;  Zhang Jihui
School of Mathematics and Computer Science, Nanjing Normal University, Nanjing 210097, China
关键词:
非局部问题;  边值问题;  正解;  Galerkin方法
Keywords:
non loca l prob lem;  boundary v alue prob lem;  pos itive so lution;  Galerk in me thod
分类号:
O175.26
摘要:
考虑了非局部边值问题{-a(∫Ω|u|qdx)Δu+b(l(u))u=f(x,u), in Ω,u=0, on Ω,及其相应的非局部抛物问题的正解存在性.其中Ω是RN中的有界光滑区域,a和b是给定的函数.利用Galerkin方法,首先获得了具有低阶项的非局部椭圆问题正解的存在性,进一步证明了抛物问题正解的存在性.

参考文献/References:

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[ 9] Abde rrahm ane, H achim ,iM ouldy Rch id S id iAmm .i Therm istor problem: A non loca l pa rabo lic problem [ J]. E lec J Differental Equations Conference, 2004, 11: 117-128.
[ 10] Delm ling K. Nonlinea r Functiona lAnalysis[M ]. Berlin: Spr inger-V erlag, 1985

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备注/Memo

备注/Memo:
Foundation item: Supported by Found at ion ofM ajor Project of Scien ce and T echnology ofCh in ese Educat ionM in istry( 2005101SB JBC51) , SRFDP of H igh er E ducation( 2005101TS JB157 ) .
Corresponding autho r: Zh ang J ihu,i professor, m ajored in virat ion alm ethod and PDE. E-m ail:jihu iz@ jlonl ine. com
更新日期/Last Update: 2013-05-05