76 citations · 206 across the 11 of their papers we have counts for
Showing 2013 · math.APShow all
3 papers · 2 filters
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★ 14 cited
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…
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…