首页|THE LIMITING PROFILE OF SOLUTIONS FOR SEMILINEAR ELLIPTIC SYSTEMS WITH A SHRINKING SELF-FOCUSING CORE
THE LIMITING PROFILE OF SOLUTIONS FOR SEMILINEAR ELLIPTIC SYSTEMS WITH A SHRINKING SELF-FOCUSING CORE
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维普
In this paper,we consider the semilinear elliptic equation systems-△u+u=αQn(x)|u|α-2|v|βu in RN,-△v+v=βQn(X)|u|α|v|β-2v in RN,where N≥3,α,β＞1,α+β＜2*,2*=2N/N-2 and Qn are bounded given functions whose self-focusing cores {x ∈ RN|Qn(x)＞0} shrink to a set with finitely many points as n → ∞.Motivated by the work of Fang and Wang[13],we use variational methods to study the limiting profile of ground state solutions which are concentrated at one point of the set with finitely many points,and we build the localized concentrated bound state solutions for the above equation systems.
Schrödinger systemground states solutionsbound state solutions
金可、石影、谢华飞
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Zhejiang College,Shanghai University of Finance and Economics,Jinhua 321013,China
School of Mathematical Sciences,Zhejiang Normal University,Jinhua 321004,China
School of Mathematics and Statistics,Nanyang Normal University,Nanyang 473061,China
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维普
