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Sign-changing solutions for a class of Kirchhoff-type problem in bounded domains

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成果类型:
期刊论文
作者:
Shuai, Wei*
通讯作者:
Shuai, Wei
作者机构:
[Shuai, Wei; Shuai, W] Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China.
通讯机构:
[Shuai, Wei] C
Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China.
语种:
英文
关键词:
Kirchhoff-type equations;Sign-changing solutions;Nonlocal term
期刊:
Journal of Differential Equations
ISSN:
0022-0396
年:
2015
卷:
259
期:
4
页码:
1256-1274
基金类别:
NSFCNational Natural Science Foundation of China (NSFC) [11371160]
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学学院
摘要:
We are interested in the existence of least energy sign-changing solutions for a class of Kirchhoff-type problem in bounded domains. Because the so-called nonlocal term b(integral(Omega)vertical bar del u vertical bar(2)dx)Delta u is involving in the equation, the variational functional of the equation has totally different properties from the case of b = 0. Combining constraint variational method and quantitative deformation lemma, we prove that the problem possesses one least energy sign-changing solution u(b). Moreover, we show that the energy of u(b) is strictly larger than the ground stat...

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