MULTIPLE LOCALIZED NODAL SOLUTIONS OF HIGH TOPOLOGICAL TYPE FOR KIRCHHOFF-TYPE EQUATION WITH DOUBLE POTENTIALS

doi:10.3934/cpaa.2022058

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	MULTIPLE LOCALIZED NODAL SOLUTIONS OF HIGH TOPOLOGICAL TYPE FOR KIRCHHOFF-TYPE EQUATION WITH DOUBLE POTENTIALS
	Wu, Zhi-Guo; Guan, Wen; Wang, Da-Bin
刊名	COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
	2022
关键词	Kirchhoff-type equation nonlocal term nodal solutions concentrations semiclassical states
ISSN号	1534-0392
DOI	10.3934/cpaa.2022058
英文摘要	We are concerned with sign-changing solutions and their concentration behaviors of singularly perturbed Kirchhoff problem -(epsilon(2)a + epsilon b integral(R3) vertical bar del v vertical bar(2)dx)Delta v + V (x)v = P(x)f (v) in R-3, where epsilon is a small positive parameter, a, b > 0 and V, P is an element of C-1(R-3, R). Without using any non-degeneracy conditions, we obtain multiple localized sign changing solutions of higher topological type for this problem. Furthermore, we also determine a concrete set as the concentration position of these sign changing solutions. The main methods we use are penalization techniques and the method of invariant sets of descending flow. It is notice that, when nonlinear potential P is a positive constant, our result generalizes the result obtained in [5] to Kirchhoff problem.
WOS研究方向	Mathematics
语种	英语
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
WOS记录号	WOS:000773672300001
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/158093]
专题	理学院
作者单位	Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Wu, Zhi-Guo,Guan, Wen,Wang, Da-Bin. MULTIPLE LOCALIZED NODAL SOLUTIONS OF HIGH TOPOLOGICAL TYPE FOR KIRCHHOFF-TYPE EQUATION WITH DOUBLE POTENTIALS[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,2022.
APA	Wu, Zhi-Guo,Guan, Wen,&Wang, Da-Bin.(2022).MULTIPLE LOCALIZED NODAL SOLUTIONS OF HIGH TOPOLOGICAL TYPE FOR KIRCHHOFF-TYPE EQUATION WITH DOUBLE POTENTIALS.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS.
MLA	Wu, Zhi-Guo,et al."MULTIPLE LOCALIZED NODAL SOLUTIONS OF HIGH TOPOLOGICAL TYPE FOR KIRCHHOFF-TYPE EQUATION WITH DOUBLE POTENTIALS".COMMUNICATIONS ON PURE AND APPLIED ANALYSIS (2022).