| 合作型椭圆方程组大解的存在唯一性和渐近行为 |
| |
| 引用本文： | 孙建平,娄红良,陈莉.合作型椭圆方程组大解的存在唯一性和渐近行为[J].南京大学学报(自然科学版),2014,31(1):32-45. |
| |
| 作者姓名： | 孙建平 娄红良 陈莉 |
| |
| 作者单位： | 南通大学理学院,南通,226007 |
| |
| 基金项目： | 江苏省现代教育技术研究重点课题2013-R-25022;南通大学课题 |
| |
| 摘 要： | 本文研究合作型椭圆方程组△u=a(x)u~pv~q,△v=b(x)u~rv~s,x∈Ω边界爆破解的存在性、唯一性及渐近行为,其中p+g1,s+r1,q,r0,Ω(?)R~N为有界光滑区域,权函数a(x),b(x)在边界的不同点处以不同速度消失.在生物学上该系统表示两物种是合作型模型.本文运用上下解方法和局部化原理证明大解的性质.
|
| 关 键 词： | 椭圆型方程组 边界爆破解 上下解 局部化原理 |
LARGE SOLUTIONS FOR AN ELLIPTIC SYSTEM OF COOPERATIVE TYPE: EXISTENCE,UNIQUENESS AND ASYMPTOTIC BEHAVIOR |
| |
| Sun Jianping,Lou Hongliang,Chen Li.LARGE SOLUTIONS FOR AN ELLIPTIC SYSTEM OF COOPERATIVE TYPE: EXISTENCE,UNIQUENESS AND ASYMPTOTIC BEHAVIOR[J].Journal of Nanjing University: Nat Sci Ed,2014,31(1):32-45. |
| |
| Authors: | Sun Jianping Lou Hongliang Chen Li |
| |
| Institution: | 1.School of Sciences, Nantong University, 226007, Nantong PRC;) |
| |
| Abstract: | In this paper,the existence,uniqueness and asymptotic behavior of boundary blow-up solutions to cooperative elliptic system △u =a（x）upvq,△v =b（x）urvs,x ∈ Ω is considered,where p ＋ q ＞ 1,s ＋ r ＞ 1,q,r ＜ 0,Ω （C） RN are a smooth bounded domain,the weight functions a（x）,b（x） vanish on the boundary at different rates,depending upon the point of （0）Ω.The system is a class of cooperative model.The method of sub and super solutions and localization method are used to the proof. |
| |
| Keywords: | elliptic systems boundary blow-up solutions sub and super solutions localization method |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
