Ting Xiao

Existence of Positive Solutions for the Kirchhoff Type Equations Involving General Critical Growth in \(\mathbb{R}\)\(^{N}\)

Ting Xiao & Qiongfen Zhang · Journal of Advances in Mathematics and Computer Science · 2021

In this paper, we consider the following nonlinear Kirchhoff type problem − ( a + \(\lambda\) \(\int\) \(\mathbb{R}\)\(^{N}\) |∇u|2dx ) Δu + V (x)u = f(u), x ∈ \(\mathbb{R}\)\(^{N}\), where N ≥ 3, a is a positive constant, \(\lambda\) \(\ge\) 0 is a parameter. Under some sufficie...