Existence of Ground State Sign-Changing Solutions of Fractional Kirchhoff-Type Equation with Critical Growth

doi:10.1007/s00245-021-09763-x

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	Existence of Ground State Sign-Changing Solutions of Fractional Kirchhoff-Type Equation with Critical Growth
	Guan, Wen 1,2; Huo, Hai-Feng 2
刊名	APPLIED MATHEMATICS AND OPTIMIZATION
	2021
卷号	84 期号:SUPPL 1 页码:99-121
关键词	Sign-changing solution Non-local integrodifferential operator Variational methods
ISSN号	0095-4616
DOI	10.1007/s00245-021-09763-x
英文摘要	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.
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000633300600001
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/148294]
专题	理学院学科建设与学位办公室
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
推荐引用方式 GB/T 7714	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.