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math.AP2021★ 2 cited
Positive normalized solution to the Kirchhoff equation with general nonlinearities of mass super-critical
Qihan He, Zongyan Lv, Yimin Zhang +1
In present paper, we study the normalized solutions to the following Kirchhoff problem $$ -\left(a+b\int_{\R^N}|\nabla u|^2dx\right)Δu+λu=g(u)~\h…
math.AP2021★ 2 cited
Sharp interaction estimates and their application: existence of normalized ground states to coupled Schrödinger systems with potentials
Yinbin Deng, Qihan He, Xuexiu Zhong
In this paper, our aim is to prove the existence of normalized ground state for the following Schrödinger systems with potentials $$\begin{cases} -Δu_1+V_1(x)u_1+λ_1 u_1=\partial_1…
math.AP2021★ 1 cited
A new type of bubble solutions for a Schrödinger equation with critical growth
Qihan He, Chunhua Wang, Qingfang Wang
In this paper, we investigate the following critical elliptic equation where is a b…