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Least energy sign-changing solutions of Kirchhoff-type equation with critical growth
Wang, Da-Bin
2020-01
Source PublicationJOURNAL OF MATHEMATICAL PHYSICS
ISSN0022-2488
Volume61Issue:1
AbstractIn 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.
DOI10.1063/1.5074163
Indexed BySCI
Language英语
Funding ProjectNatural Science Foundation of China[11561043]
WOS Research AreaPhysics
WOS SubjectPhysics, Mathematical
WOS IDWOS:000518007300002
PublisherAMER INST PHYSICS
Document Type期刊论文
Identifierhttp://ir.lut.edu.cn/handle/2XXMBERH/64314
Collection理学院
材料科学与工程学院
Corresponding AuthorWang, Da-Bin
AffiliationLanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
First Author AffilicationColl Mat Sci & Engn
Corresponding Author AffilicationColl Mat Sci & Engn
First Signature AffilicationColl Mat Sci & Engn
Recommended Citation
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).
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