Least energy sign-changing solutions of Kirchhoff-type equation with critical growth

doi:10.1063/1.5074163

	Least energy sign-changing solutions of Kirchhoff-type equation with critical growth
	Wang, Da-Bin
	2020
发表期刊	JOURNAL OF MATHEMATICAL PHYSICS
ISSN	0022-2488
卷号	61 期号:1
摘要	In this paper, we study the Kirchhoff-type equation -(a + b integral(Omega)vertical bar del u\|(2) dx)Delta u = vertical bar u vertical bar(4)u + lambda f(x, u), x is an element of Omega, u = 0, x is an element of partial derivative Omega, where Omega subset of R-3 is a bounded domain with a smooth boundary partial derivative Omega, lambda, a, b > 0. Under suitable conditions on f, by using the constraint variational method and the quantitative deformation lemma, if lambda is large enough, we obtain a least energy sign-changing (or nodal) solution u(b) to this problem for each b > 0. Moreover, we prove that the energy of u(b) is strictly larger than twice that of the ground state solutions. Published under license by AIP Publishing.
DOI	10.1063/1.5074163
收录类别	SCI ; SCIE
语种	英语
资助项目	Natural Science Foundation of China[11561043]
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000518007300002
出版者	AMER INST PHYSICS
来源库	WOS
引用统计	被引频次：34[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/64314
专题	材料科学与工程学院理学院
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	Wang, Da-Bin. Least energy sign-changing solutions of Kirchhoff-type equation with critical growth[J]. JOURNAL OF MATHEMATICAL PHYSICS,2020,61(1).
APA	Wang, Da-Bin.(2020).Least energy sign-changing solutions of Kirchhoff-type equation with critical growth.JOURNAL OF MATHEMATICAL PHYSICS,61(1).
MLA	Wang, Da-Bin."Least energy sign-changing solutions of Kirchhoff-type equation with critical growth".JOURNAL OF MATHEMATICAL PHYSICS 61.1(2020).