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Publications Influence

Asymptotic behaviors of solutions to quasilinear elliptic equations with critical Sobolev growth and Hardy potential

- Chang-Lin Xiang
- Mathematics
- 13 February 2015

Abstract Optimal estimates on the asymptotic behaviors of weak solutions both at the origin and at the infinity are obtained to the following quasilinear elliptic equations − Δ p u − μ | x | p | u |… Expand

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Uniqueness and nondegeneracy of ground states for Choquard equations in three dimensions

- Chang-Lin Xiang
- Mathematics
- 4 June 2015

We obtain uniqueness and nondegeneracy results for ground states of Choquard equations $$-\Delta u+u=\left( |x|^{-1}*|u|^{p}\right) |u|^{p-2}u$$-Δu+u=|x|-1∗|u|p|u|p-2u in $$\mathbb {R}^{3}$$R3,… Expand

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Uniqueness and Nondegeneracy of positive solutions to Kirchhoff equations and its applications in singular perturbation problems

- G. Li, P. Luo, Shuangjie Peng, C. Wang, Chang-Lin Xiang
- Physics, Mathematics
- 16 March 2017

In the present paper, we establish the uniqueness and nondegeneracy of positive energy solutions to the Kirchhoff equation \begin{eqnarray*} -\left(a+b\int_{\mathbb{R}^{3}}|\nabla u|^{2}\right)\Delta… Expand

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Nondegeneracy of positive solutions to a Kirchhoff problem with critical Sobolev growth

- G. Li, Chang-Lin Xiang
- Physics, Mathematics
- Appl. Math. Lett.
- 22 June 2018

TLDR

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Non-invasive genetic analysis indicates low population connectivity in vulnerable Chinese gorals: concerns for segregated population management

- J. Yang, Guo-Fen Zhu, J. Jiang, Chang-Lin Xiang, F. Gao, Weidong Bao
- Biology, Medicine
- Zoological research
- 23 July 2019

Detailed information on the size and genetic structure of wildlife populations is critical for developing effective conservation strategies, especially for those species that have suffered population… Expand

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Remarks on Nondegeneracy of Ground States for Quasilinear Schr\"odinger Equations

- Chang-Lin Xiang
- Mathematics
- 11 June 2015

In this paper, we answer affirmatively the problem proposed by A. Selvitella in his paper "Nondegenracy of the ground state for quasilinear Schr\"odinger Equations" (see Calc. Var. Partial Differ.… Expand

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A singularly perturbed Kirchhoff problem revisited

- G. Li, P. Luo, Shuangjie Peng, C. Wang, Chang-Lin Xiang, Chang-Lin Xiang
- Mathematics
- 5 January 2020

Abstract In this paper, we revisit the singularly perturbation problem (0.1) − ( ϵ 2 a + ϵ b ∫ R 3 | ∇ u | 2 ) Δ u + V ( x ) u = | u | p − 1 u in R 3 , where a , b , ϵ > 0 , 1 p 5 are constants and… Expand

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GRADIENT ESTIMATES FOR SOLUTIONS TO QUASILINEAR ELLIPTIC EQUATIONS WITH CRITICAL SOBOLEV GROWTH AND HARDY POTENTIAL

- Chang-Lin Xiang
- Mathematics
- 13 February 2015

This note is a continuation of the work \cite{CaoXiangYan2014}. We study the following quasilinear elliptic equations \[ -\Delta_{p}u-\frac{\mu}{|x|^{p}}|u|^{p-2}u=Q(x)|u|^{\frac{Np}{N-p}-2}u,\quad\,… Expand

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INFINITELY MANY SOLUTIONS FOR QUASILINEAR ELLIPTIC EQUATIONS INVOLVING DOUBLE CRITICAL TERMS AND BOUNDARY GEOMETRY

- C. Wang, Chang-Lin Xiang
- Mathematics
- 2016

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Local uniqueness of multi-peak solutions to a class of Kirchhoff equations

- G. Li, Y. Niu, Chang-Lin Xiang
- Mathematics
- 2020

where ǫ > 0 is a parameter, V : R → R is a bounded continuous function. Under some mild conditions on V , Luo, Peng, Wang and the last named author of the present paper [22] proved the existence of… Expand