期刊论文

Li, Gongbao

英文

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA

1239-629X

2020

45

1

121-137

10.5186/aasfm.2020.4503

This work was supported by Natural Science Foundation of China (Grant No. 11771166), Hubei Key Laboratory of Mathematical Sciences and Program for Changjiang Scholars and Innovative Research Team in University #IRT_17R46. Xiang is financially supported by NSFC (No. 11701045) and by the Yangtze Youth Fund (No. 2016cqn56). The authors would like to thank the anonymous referees for their valuable comments which helped to improve the manuscript.

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In this paper, we consider the nonlocal Kirchhoff problem -(c(2)a + cb integral(R3 )vertical bar del u vertical bar(2)) Delta u + V(x)u = u(p), u > 0, u is an element of H1(R-3) where a, b > 0, 1 < p < 5 are constants, c > 0 is a parameter. Under some assumptions on V(x), we show the local uniqueness of positive multi-peak solutio...