A result on a class of elliptic equations involving Kirchhoff type nonlocal term

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• 作者：Jiu Liu^a ; ^{jiuliu2011@163.com} ; Zhongquan Yan^a ; Zhibo Zheng^b
• 关键词：Elliptic equations ; Kirchhoff type nonlocal term ; Variational method
• 刊名：Computers & Mathematics with Applications
• 出版年：2017
• 出版时间：15 January 2017
• 年：2017
• 卷：73
• 期：2
• 页码：355-361
• 全文大小：366 K
• 卷排序：73

文摘

In the paper, we consider the following elliptic equations involving Kirchhoff type nonlocal term equation(0.1)−(a+b∫R3|∇u|2dx)△u+V(x)u=f(u),x∈R3, in which a≥0,b>0a≥0,b>0, the nonlinear term ff satisfies the Berestycki–Lions conditions. Under some assumptions on VV, we obtained equation Eq. (0.1) has at least a solution.