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

doi:10.3934/cpaa.2022058

IR > 理学院

	MULTIPLE LOCALIZED NODAL SOLUTIONS OF HIGH TOPOLOGICAL TYPE FOR KIRCHHOFF-TYPE EQUATION WITH DOUBLE POTENTIALS
	Wu, Zhi-Guo; Guan, Wen; Wang, Da-Bin
	2022-03
发表期刊	COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
ISSN	1534-0392
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.
关键词	Kirchhoff-type equation nonlocal term nodal solutions concentrations semiclassical states
DOI	10.3934/cpaa.2022058
收录类别	SCIE
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000773672300001
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
来源库	WOS
引用统计	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/158093
专题	理学院
通讯作者	Wang, Da-Bin
作者单位	Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
第一作者单位	材料科学与工程学院
通讯作者单位	材料科学与工程学院
第一作者的第一单位	材料科学与工程学院
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).