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math.AP2022
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)…
math.AP2022
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)…
math.AP2022
Local uniqueness of multi-peak positive solutions to a class of fractional Kirchhoff equations
Zhipeng Yang
This paper has two main purposes. In the first part, combining the nondegeneracy of the ground state with the Lyapunov--Schmidt reduction method, we prove the existence of multi-pe…