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THE EXISTENCE AND CONCENTRATION BEHAVIOR OF GROUND STATE SOLUTIONS FOR FRACTIONAL SCHRODINGER-KIRCHHOFF TYPE EQUATIONS

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成果类型:
期刊论文
作者:
Jia, Huifang;Li, Gongbao*
通讯作者:
Li, Gongbao
作者机构:
[Jia, Huifang] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.
[Li, Gongbao] Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.
通讯机构:
[Li, Gongbao] N
Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.
语种:
英文
关键词:
Concentration behavior;Ground state solution;Schrödinger-Kirchhoff type equations;Variational methods
期刊:
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA
ISSN:
1239-629X
年:
2018
卷:
43
页码:
991-1021
基金类别:
Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11771166]; Hubei Key Laboratory of Mathematical Sciences; Program for Changjiang Scholars and Innovative Research Team in UniversityProgram for Changjiang Scholars & Innovative Research Team in University (PCSIRT) [IRT_17R46]
机构署名:
本校为第一机构
院系归属:
数学与统计学学院
摘要:
In this paper, we study the following fractional Schrodinger Kirchhoff type problem (Q(epsilon)) {L(epsilon)(s)u = K (x)f (u) in R-3, u is an element of H-s (R-3), where L-epsilon(s) is a nonlocal operator defined by L(epsilon)(s )u = M (1/epsilon(3-2s )integral integral R3x R3 vertical bar u(x)-u(y)vertical bar(2)/vertical bar x-y vertical bar(3+2s)dx dy +1/epsilon(3)integral R3 V(x)u(2)dx)[epsilon(2s) (-Delta)(s) u + V(x ) u], epsilon is a small positive parameter, 3/4 < s < 1 is a fixed constant, the operator (-Delta)(s )is the fractional Laplacian of order s, M, V, K and f are continuous f...

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