In this paper, we focus on a class of non-autonomous Kirchhoff equations, that is, −(a+b∫R3|∇u|2dx)Δu−λu=K(x)|u|p−2u in R3, where a,b>0 are constants, λ∈R is unknown and appears as a Lagrange multiplier, 2<p<6 and K:R3→R is a potential function. Under certain assumptions on the potential K, the concentration behavior of normalized ground state solutions is analyzed by using variational methods.

中文翻译：

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关于非自主 Kirchhoff 方程的归一化基态解的质量浓度


在本文中，我们重点介绍一类非自主基尔霍夫方程，即 R3 中的 −（a+b∫R3|∇u|2dx）Δu−λu=K（x）|u|p−2u，其中 a，b>0 是常数，λ∈R 是未知的，表现为拉格朗日乘子，2<p<6 和 K：R3→R 是一个势函数。在对势 K 的某些假设下，使用变分方法分析归一化基态解的浓度行为。