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20132018
most citedExistence of positive ground state solutions for the nonlinear Kirchhoff type equations in

15 citations · 36 across the 7 of their papers we have counts for

collaborators

7 papers

math.AP2018

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…

math.AP2017★ 2 cited

The sharp existence of constrained minimizers for the -critical Schrödinger-Poisson system and Schrödinger equations

Hongyu Ye

In this paper, we study the existence of minimizers for a class of constrained minimization problems derived from the Schrödinger-Poisson equations: $$-Δu+V(x)u+(|x|^{-1}*u^2)u-|u|…

math.AP2015★ 5 cited

Mass minimizers and concentration for nonlinear Choquard equations in

Hong yu Ye

In this paper, we study the existence of minimizers to the following functional related to the nonlinear Choquard equation: $$ E(u)=\frac{1}{2}\ds\int_{\R^N}|\nabla u|^2+\frac{1}{2…

math.AP2015★ 1 cited

The existence of least energy nodal solutions for some class of Kirchhoff equations and Choquard equations

Hongyu Ye

In this paper, we study the existence of least energy nodal solutions for some class of Kirchhoff type problems. Since Kirchhoff equation is a nonlocal one, the variational setting…

math.AP2013

Positive radial solutions for coupled Schrödinger system with critical exponent in

Yan-fang Peng, Hong-yu Ye

We study the following coupled Schrödinger system \ds -Δu+u=u^{2^*-1}+\be u^{\frac{2^*}{2}-1}v^{\frac{2^*}{2}}+\la_1u^{\al-1}, &x\in \R^N, \ds -Δv+v=v^{2^*-1}+\be u^{\frac{2^*}{2}}…

math.AP2013★ 15 cited

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,…

math.AP2013★ 13 cited

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…