4 papers
Local uniqueness of semiclassical bounded states for a singularly perturbed fractional Kirchhoff problem
Vicentiu D. Rădulescu, Zhipeng Yang
In this paper, we consider the following singularly perturbed fractional Kirchhoff problem \begin{equation*} \Big(\varepsilon^{2s}a+\varepsilon^{4s-N} b{\int_{\mathbb{R}^{N}}}|(-Δ)…
A singularly perturbed fractional Kirchhoff problem
Vicentiu D. Rădulescu, Zhipeng Yang
In this paper, we first establish the uniqueness and non-degeneracy of positive solutions to the fractional Kirchhoff problem \begin{equation*} \Big(a+b{\int_{\mathbb{R}^{N}}}|(-Δ)…
Concentration of positive ground state solutions for critical Kirchhoff equation with competing potentials
Yongpeng Chen, Zhipeng Yang
In this paper, we consider the following singularly perturbed Kirchhoff equation \begin{equation*} -(\varepsilon^2a+\varepsilon b\int_{\mathbb{R}^3}|\nabla u|^2dx)Δu+V(x)u=P(x)|u|^…
Multiple and concentration of nontrivial nonnegative solutions for a fractional Choquard equation with critical exponent
Shaoxiong Chen, Yue Li, Zhipeng Yang
In present paper, we study the fractional Choquard equation where $\varepsilon>…