4 citations · 6 across the 8 of their papers we have counts for
8 papers · 1 filter
Single-peak and multi-peak solutions for Hamiltonian elliptic systems in dimension two
Hui Zhang, Minbo Yang, Jianjun Zhang +1
This paper is concerned with the Hamiltonian elliptic system in dimension two\begin{equation*}\aligned \left\{ \begin{array}{lll} -ε^2Δu+V(x)u=g(v)\ & \text{in}\quad \mathbb{R}^2,\…
Existence of infinitely many solutions for a critical Hartree type equation with potential: local Pohožaev identities methods
Daniele Cassani, Minbo Yang, Xinyun Zhang
This paper deals with the following equation $$-Δu =K(|x'|, x'')\Big(|x|^{-α}\ast (K(|x'|, x'')|u|^{2^{\ast}_α})\Big) |u|^{2^{\ast}_α-2}u\quad\mbox{in}\ \mathbb{R}^N,$$ where $N\ge…
Nondegeneracy of positive solutions for a biharmonic hartree equation and its applications
Xinyun Zhang, Weiwei Ye, Minbo Yang
In this paper, we are interested in some problems related to the following biharmonic hartree equation \begin{equation*} Δ^{2} u=(|x|^{-α}\ast |u|^{p})u^{p-1},\sp \text{in}\quad\R^…
Remainder terms of a nonlocal Sobolev inequality1
Shengbing Deng, Xingliang Tian, Minbo Yang +1
In this note we study a nonlocal version of the Sobolev inequality \begin{equation*} \int_{\mathbb{R}^N}|\nabla u|^2 dx \geq S_{HLS}\left(\int_{\mathbb{R}^N}\big(|x|^{-α} \ast u^{2…
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…
Construction of infinitely many solutions for a critical Choquard equation via local Pohožaev identities
Fashun Gao, Vitaly Moroz, Minbo Yang +1
In this paper, we study a class of the critical Choquard equations with axisymmetric potentials, $$ -Δu+ V(|x'|,x'')u =\Big(|x|^{-4}\ast |u|^{2}\Big)u\hspace{4.14mm}\mbox{in}\hspac…