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author:

Yu, Shengbin (Yu, Shengbin.) [1] | Huang, Lingmei (Huang, Lingmei.) [2] | Chen, Jiangbin (Chen, Jiangbin.) [3]

Indexed by:

SCIE

Abstract:

This paper concerns a fractional Kirchhoff equation with critical nonlinearities and a negative nonlocal term. In the case of high perturbations (large values of alpha, i.e., the parameter of a subcritical nonlinearity), existence results are obtained by the concentration compactness principle together with the mountain pass theorem and cut-off technique. The multiplicity of solutions are further considered with the help of the symmetric mountain pass theorem. Moreover, the nonexistence and asymptotic behavior of positive solutions are also investigated.

Keyword:

concentration compactness principle critical exponent fractional Kirchhoff equation mountain pass theorem multiplicity

Community:

  • [ 1 ] [Yu, Shengbin]Fujian Business Univ, Coll Informat Engn, Fuzhou 350102, Peoples R China
  • [ 2 ] [Huang, Lingmei]Fujian Business Univ, Coll Informat Engn, Fuzhou 350102, Peoples R China
  • [ 3 ] [Chen, Jiangbin]Fuzhou Univ, Stat Zhicheng Coll, Dept Data Sci, Fuzhou 350002, Peoples R China

Reprint 's Address:

  • [Chen, Jiangbin]Fuzhou Univ, Stat Zhicheng Coll, Dept Data Sci, Fuzhou 350002, Peoples R China;;

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Source :

AXIOMS

Year: 2024

Issue: 5

Volume: 13

1 . 9 0 0

JCR@2023

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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