Least energy sign-changing solutions of Kirchhoff-type equation with critical growth | |
Wang, Da-Bin | |
2020-01 | |
Source Publication | JOURNAL OF MATHEMATICAL PHYSICS |
ISSN | 0022-2488 |
Volume | 61Issue:1 |
Abstract | 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 |
Indexed By | SCI |
Language | 英语 |
Funding Project | Natural Science Foundation of China[11561043] |
WOS Research Area | Physics |
WOS Subject | Physics, Mathematical |
WOS ID | WOS:000518007300002 |
Publisher | AMER INST PHYSICS |
Document Type | 期刊论文 |
Identifier | http://ir.lut.edu.cn/handle/2XXMBERH/64314 |
Collection | 理学院 材料科学与工程学院 |
Corresponding Author | Wang, Da-Bin |
Affiliation | Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China |
First Author Affilication | Coll Mat Sci & Engn |
Corresponding Author Affilication | Coll Mat Sci & Engn |
First Signature Affilication | Coll 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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