76 citations · 227 across the 25 of their papers we have counts for
7 papers · 1 filter
Nonlinear Liouville problems in a quarter plane
Chang-Lin Xiang
We answer affirmatively the open problem proposed by Cabré and Tan in their paper "Positive solutions of nonlinear problems involving the square root of the Laplacian" (see Adv. Ma…
-variational problems associated to measurable Finsler structures
Chang-Yu Guo, Chang-Lin Xiang, Dachun Yang
We study -variational problems associated to measurable Finsler structures in Euclidean spaces. We obtain existence and uniqueness results for the absolute minimizers.
Remarks on Nondegeneracy of Ground States for Quasilinear Schrödinger Equations
Chang-Lin Xiang
In this paper, we answer affirmatively the problem proposed by A. Selvitella in his paper "Nondegenracy of the ground state for quasilinear Schrödinger Equations" (see Calc. Var. P…
Uniqueness and Nondegeneracy of Ground States for Choquard Equations in three dimensions
Chang-Lin Xiang
We obtain uniqueness and nondegeneracy results for ground states of Choquard equations in , provided that a…
Uniqueness of Positive Radial Solutions To Singular Critical Growth Quasilinear Elliptic Equations
Cheng-Jun He, Chang-Lin Xiang
In this paper, we prove that there exists at most one positive radial weak solution to the following quasilinear elliptic equation with singular critical growth \[ \begin{cases} -Δ…
Gradient Estimates for Solutions To Quasilinear Elliptic Equations with Critical Sobolev Growth and Hardy Potential
Chang-Lin Xiang
This note is a continuation of the work \cite{CaoXiangYan2014}. We study the following quasilinear elliptic equations \[ -Δ_{p}u-\fracμ{|x|^{p}}|u|^{p-2}u=Q(x)|u|^{\frac{Np}{N-p}-2…
Asymptotic Behaviors of Solutions to quasilinear elliptic Equations with critical Sobolev growth and Hardy potential
Chang-Lin Xiang
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-\fracμ…