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Existence of Solution for a Kind of Fractional Kirchhoff Equation with Logarithmic Nonlinearity(PDF)

《南京师大学报(自然科学版)》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2023年01期
Page:
24-27
Research Field:
数学
Publishing date:

Info

Title:
Existence of Solution for a Kind of Fractional Kirchhoff Equation with Logarithmic Nonlinearity
Author(s):
Huang Hong1Shang Xudong2
(1.Zhongbei College, Nanjing Normal University, Zhenjiang 212334, China)
(2.Taizhou College, Nanjing Normal University, Taizhou 225300, China)
Keywords:
fractional Kirchhoff equation logarithmic nonlinearity compactness condition mountain pass lemma
PACS:
O175.8
DOI:
10.3969/j.issn.1001-4616.2023.01.005
Abstract:
By proving the compactness condition through careful estimation of logarithmic terms,and with the help of mountain pass lemma,the authors study the existence of nontrivial solution for a kind of fractional Kirchhoff equation with logarithmic nonlinear term

under certain conditions.

References:

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Last Update: 2023-03-15