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Existence of Ground State Sign-Changing Solutions of Fractional Kirchhoff-Type Equation with Critical Growth
Guan, Wen1,2; Huo, Hai-Feng2
2021-12
发表期刊APPLIED MATHEMATICS AND OPTIMIZATION
ISSN0095-4616
卷号84期号:SUPPL 1页码:99-121
摘要In this paper, we study the following fractional Kirchhoff-type equation {-(a + b integral(RN) integral(RN) vertical bar u(x) - u(y)vertical bar(2) K (x - y)dxdy)L(K)u = vertical bar u vertical bar(2 alpha)*(-2) u + mu f(u), x is an element of Omega, u = 0, x is an element of R-N\Omega, where Omega subset of R-N is a bounded domain with a smooth boundary, alpha is an element of (0, 1), 2 alpha < N < 4 alpha, 2(alpha)(*)is the fractional critical Sobolev exponent and mu, a, b > 0; LK is nonlocal integrodifferential operator. Under suitable conditions on f, for mu large enough, by using constraint variational method and the quantitative deformation lemma, we obtain a ground state sign-changing (or nodal) solution to this problem, and its energy is strictly larger than twice that of the ground state solutions.
关键词Sign-changing solution Non-local integrodifferential operator Variational methods
DOI10.1007/s00245-021-09763-x
收录类别SCIE ; SCOPUS ; EI
语种英语
WOS研究方向Mathematics
WOS类目Mathematics, Applied
WOS记录号WOS:000633300600001
出版者SPRINGER
EI入藏号20211410162661
EI主题词Ground state
来源库WOS
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被引频次:1[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符https://ir.lut.edu.cn/handle/2XXMBERH/148294
专题理学院
学科建设与学位办公室
通讯作者Guan, Wen
作者单位1.Lanzhou Univ Technol, Coll Elect & Informat Engn, Lanzhou 730050, Gansu, Peoples R China;
2.Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
第一作者单位电气工程与信息工程学院;  材料科学与工程学院
通讯作者单位电气工程与信息工程学院;  材料科学与工程学院
第一作者的第一单位电气工程与信息工程学院
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Guan, Wen,Huo, Hai-Feng. Existence of Ground State Sign-Changing Solutions of Fractional Kirchhoff-Type Equation with Critical Growth[J]. APPLIED MATHEMATICS AND OPTIMIZATION,2021,84(SUPPL 1):99-121.
APA Guan, Wen,&Huo, Hai-Feng.(2021).Existence of Ground State Sign-Changing Solutions of Fractional Kirchhoff-Type Equation with Critical Growth.APPLIED MATHEMATICS AND OPTIMIZATION,84(SUPPL 1),99-121.
MLA Guan, Wen,et al."Existence of Ground State Sign-Changing Solutions of Fractional Kirchhoff-Type Equation with Critical Growth".APPLIED MATHEMATICS AND OPTIMIZATION 84.SUPPL 1(2021):99-121.
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