数学
多重性(数学)
非线性系统
应用数学
数学分析
牙石(牙科)
物理
量子力学
医学
牙科
作者
Xiaoming He,Wenming Zou
标识
DOI:10.1016/j.jde.2011.08.035
摘要
We study the existence, multiplicity and concentration behavior of positive solutions for the nonlinear Kirchhoff type problem{−(ε2a+εb∫R3|∇u|2)Δu+V(x)u=f(u)in R3,u∈H1(R3),u>0in R3, where ε>0 is a parameter and a,b>0 are constants; V is a positive continuous potential satisfying some conditions and f is a subcritical nonlinear term. We relate the number of solutions with the topology of the set where V attains its minimum. The results are proved by using the variational methods.
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