7 citations · 12 across the 5 of their papers we have counts for
5 papers
Complex and real valued solutions for fractoinal Helmholtz equation
Zifei Shen, Shuijin Zhang
In this paper, we are concerned with the limiting absorption principle for the fractional Helmholtz equation, By establishing the boundedness estimate for the resolvent of fraction…
Stein-Weiss type inequality on the upper half space and its applications
Xiang Li, Zifei Shen, Marco Squassina +1
In this paper, we establish some Stein-Weiss type inequalities with general kernels on the upper half space and study the existence of extremal functions for this inequality with t…
On the critical Choquard equation with potential well
Fashun Gao, Zifei Shen, Minbo Yang
In this paper we are interested in the following nonlinear Choquard equation $$ -Δu+(λV(x)-β)u =\big(|x|^{-μ}\ast |u|^{2_μ^{\ast}}\big)|u|^{2_μ^{\ast}-2}u\hspace{4.14mm}\mbox{in}\h…
Stability and instability of standing waves for a generalized Choquard equation with potential
Zhipeng Cheng, Minbo Yang
We are going to study the standing waves for a generalized Choquard equation with potential: $$ -i\partial_t u-Δu+V(x)u=(|x|^{-μ}\ast|u|^p)|u|^{p-2}u, \ \ \hbox{in}\ \ \mathbb{R}\t…
Groundstates for nonlinear fractional Choquard equations with general nonlinearities
Zifei Shen, Fashun Gao, Minbo Yang
We study the following nonlinear Choquard equation driven by a fractional Laplacian: with ,…