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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…