山口定理
多重性(数学)
数学
薛定谔猫
类型(生物学)
数学物理
数学分析
物理
纯数学
量子力学
非线性系统
地质学
古生物学
标识
DOI:10.1016/j.na.2012.01.004
摘要
In the present paper, the following Schrödinger–Kirchhoff-type problem (P){−(a+b∫RN|∇u|2dx)Δu+V(|x|)u=Q(|x|)f(u),in RN,u(x)→0as |x|→∞, is studied. Four existence theorems of nontrivial solutions and a sequence of high energy solutions for problem (P) are obtained by the Mountain Pass Theorem and symmetric Mountain Pass Theorem.
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