Abstract

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.

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