[1]周杰,杨作东.一类拟线性椭圆型方程正奇异解的能量估计[J].南京师大学报(自然科学版),2006,29(01):21-24.
 Zhou Jie,Yang Zuodong.Energy Estimate of Positive Singular Solutions for a Class Quasilinear Elliptic Equations[J].Journal of Nanjing Normal University(Natural Science Edition),2006,29(01):21-24.
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一类拟线性椭圆型方程正奇异解的能量估计()
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《南京师大学报(自然科学版)》[ISSN:1001-4616/CN:32-1239/N]

卷:
第29卷
期数:
2006年01期
页码:
21-24
栏目:
数学
出版日期:
2006-03-30

文章信息/Info

Title:
Energy Estimate of Positive Singular Solutions for a Class Quasilinear Elliptic Equations
作者:
周杰 杨作东
南京师范大学数学与计算机科学学院, 江苏南京210097
Author(s):
Zhou JieYang Zuodong
School of Mathematics and Computer Sciences,Nanjing Normal University,Nanjing 210097,China
关键词:
存在性 正奇异解 拟线性椭圆型方程 能量估计
Keywords:
existence po sitive singular so lution quas ilinear e lliptic equa tion energy estimate
分类号:
O175.25
摘要:
本文给出了如下问题d iv(|u|p-2 u)+λf(u)=0,x∈Ωu|Ω=0,奇异解的能量估计,其中p≥2,Ω=B1是单位球,λ>0是一个参数.进一步得到了uλ是上述问题的正则正解序列且当λ→λ0∈(0,∞)时逐点收敛于奇异解U,则在Lq+1(B1)和H01(B1)中,当λ→λ0时uλ收敛于U.
Abstract:

参考文献/References:

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[ 7] Yang Zuodong. Ex istence o f positive bounded entire so lutions o f quasilinear ellip tic equa tions[ J]. App liedM ath and Com pu tation, 2004, 156( 3): 743-754.
[ 8] Y ang Zuodong, Guo Zongm ing. Ex istence of pos itive rad ia l so lu tions and entire so lutions for quasilinear singu la r boundary value prob lem s[ J]. Ann of D iff Eqns, 1996, 12( 2): 243- 251.
[ 9] Guo Zongm ing. Som e ex istence and m ultip lic ity resu lts for a class of quasilinear elliptic equations[ J]. Non linear Anal, 1992, 18( 10): 957-971.
[ 10] Guo Zongm ing, W ebb J R L. Un iqueness of positive so lutions for quasilinear e lliptic equations when a param eter is la rge [ J]. Proc Roy Soc Ed inburgh, 1994, 124A( 1): 189- 198.
[ 11] Garcia H u idobro M, M anasev ich, Y arur C S. On positive singu lar so lutions for a class of nonhomogeneous p La lacian Like equa tions[ J]. J D iff Eqns, 1998, 145( 1) : 23- 51.

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备注/Memo

备注/Memo:
基金项目: 国家自然科学基金( 10571022)和江苏省教育厅自然科学基金资助项目( 04K JB110062) .
作者简介: 周杰, 1981- , 硕士研究生, 主要从事微分方程方向的学习与研究.
通讯联系人: 杨作东, 1961- , 教授, 博士生导师, 主要从事微分方程方向的教学与研究. E mail:yangzuodong@ n jnu. edu. cn
更新日期/Last Update: 2013-05-05