14 citations · 38 across the 49 of their papers we have counts for
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Convexification Numerical Method for a Coefficient Inverse Problem for the Riemannian Radiative Transfer Equation
Michael V. Klibanov, Jingzhi Li, Loc H. Nguyen +2
The first globally convergent numerical method for a Coefficient Inverse Problem (CIP) for the Riemannian Radiative Transfer Equation (RRTE) is constructed. This is a version of th…
Convexification for a CIP for the RTE]{Convexification Numerical Method for a Coefficient Inverse Problem for the Radiative Transport Equation
Michael V. Klibanov, Jingzhi Li, Loc H. Nguyen +1
An D coefficient inverse problem for the radiative stationary transport equation is considered for the first time. A globally convergent so-called convexificat…
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)…
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…