内哈里歧管
数学
正多边形
类型(生物学)
常微分方程
数学分析
凹函数
符号(数学)
能量(信号处理)
偏微分方程
能量泛函
几何学
非线性系统
微分方程
物理
量子力学
统计
生物
生态学
作者
Yuan Gao,Lishan Liu,Shixia Luan,Yonghong Wu
标识
DOI:10.1186/s13662-021-03331-x
摘要
Abstract A Kirchhoff-type problem with concave-convex nonlinearities is studied. By constrained variational methods on a Nehari manifold, we prove that this problem has a sign-changing solution with least energy. Moreover, we show that the energy level of this sign-changing solution is strictly larger than the double energy level of the ground state solution.
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