76 citations · 206 across the 11 of their papers we have counts for
11 papers
Normalized solutions to a class of Kirchhoff equations with Sobolev critical exponent
Gongbao Li, Xiao Luo, Tao Yang
In this paper, we consider the existence and asymptotic properties of solutions to the following Kirchhoff equation \begin{equation}\label{1}\nonumber - \Bigl(a+b\int_{\R^3} {{{\le…
The existence of a nontrivial weak solution to a double critical problem involving fractional Laplacian in with a Hardy term
Gongbao Li, Tao Yang
In this paper, we consider the existence of nontrivial weak solutions to a double critical problem involving fractional Laplacian with a Hardy term: \begin{equation} \label{eq0.1}…
Nondegeneracy of positive solutions to a Kirchhoff problem with critical Sobolev growth
Gongbao Li, Chang-Lin Xiang
In this paper, we prove uniqueness and nondegeneracy of positive solutions to the following Kirchhoff equations with critical growth \begin{eqnarray*} -\left(a+b\int_{\mathbb{R}^{3…
On the concentration phenomenon of -subcritical constrained minimizers for a class of Kirchhoff equations with potentials
Li Gongbao, Ye Hongyu
In this paper, we study the existence and the concentration behavior of minimizers for , here $S_c=\{u\in H^1(\R^N)|~\int_{\R^N}V(x)|u|^2<+\inf…
Uniqueness and Nondegeneracy of positive solutions to Kirchhoff equations and its applications in singular perturbation problems
Gongbao Li, Peng Luo, Shuangjie Peng +2
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…
Uniqueness and nondegeneracy of positive solutions to a class of Kirchhoff equations in
Gongbao Li, Shuangjie Peng, Chang-Lin Xiang
In this paper, we establish a type of uniqueness and nondegeneracy results for positive solutions to the following nonlocal Kirchhoff equations \begin{eqnarray*} -\left(a+b\int_{\m…
Standing waves for a class of Schrödinger-Poisson equations in involving critical Sobolev exponents
Yi He, Gongbao Li
We are concerned with the following Schrödinger-Poisson equation with critical nonlinearity: \[\left\{\begin{gathered} - {\varepsilon ^2}Δu + V(x)u + ψu = λ|u{|^{p - 2}}u + |u{|^4}…
Existence of positive ground state solutions for the nonlinear Kirchhoff type equations in
Li Gongbao, Ye Hongyu
In this paper, we study the following nonlinear problem of Kirchhoff type with pure power nonlinearities: (a+b\ds\int_{\R^3}|D u|^2\right)Δu+V(x)u=|u|^{p-1}u, u\in H^1(\R^3), u>0,…
Concentrating Bound States for Kirchhoff type problems in involving critical Sobolev exponents
Yi He, Gongbao LI, Shuangjie Peng
We study the concentration and multiplicity of weak solutions to the Kirchhoff type equation with critical Sobolev growth \[\left\{\begin{gathered} - \Bigl({\varepsilon ^2}a + \var…
Existence of positive solutions for nonlinear Kirchhoff type problems in R^3 with critical Sobolev exponent and sign-changing nonlinearities
Li Gongbao, Ye Hongyu
In this paper, we study the following nonlinear problem of Kirchhoff type with critical Sobolev exponent: -\left(a+b\ds\int_{\R^3}|D u|^2\right)Δu+u=f(x,u)+u^{5}, u\in H^1(\R^3), u…
Further Estimates with Pseudogamma functions
Yuanyou Cheng, Gongbao Li, Juping Wang
The pseudo-Gamma function is a key tool introduced recently by Cheng and Albeverio in the proof of \break the density hypothesis. This function is doubly symmetric, which means tha…