摘要
本文主要讨论部分Hénon型方程组解的渐近性,其中Ω=Bk(0,1)×Bn-k(0,1)Rn及x=(y,z)∈Rk×Rn-k.我们研究当n≥3,2<p+q<2*=2n/(n-2)且p+q趋于临界指数2*=2n/(n-2)时方程组的基态解的渐近性及当2<p+q<2*且α→+∞时解的渐近性.
In this paper,we study part Henon type systems …… where Ω = B^k （0,1） × Bn-k （0,1） С R^n and x = （y, z） ∈ R^k × R^n-k. We investigate the asymptotic behavior of the ground state solution of systems when 2 〈 p＋q 〈 2＊= 2n/（n-2） and p＋ q tends to the critical exponent 2＊=2n/（n - 2） if n ≥ 3 as well as the asymptotic behavior of solutions when a tends to ＋ oo if 2 〈 p ＋ q 〈 2＊. Key words： Part H6non type system; Critical exponent ; Asymptotic behavior
出处
《应用数学》
CSCD
北大核心
2013年第3期482-498,共17页
Mathematica Applicata
基金
Supported by the NSF of China(11271170)
the NSF of Jiangxi Province(20132BAB211004)
the Youth Foundation of Jiangxi Provincial Education Department(GJJ12205)
