4 citations · 8 across the 12 of their papers we have counts for
12 papers
Some Reverse Hardy-Littlewood-Sobolev Type Inequalities
Qianqiao Guo, Zhe Pu, Jiankang Xia
We establish some sharp reverse Hardy-Littlewood-Sobolev (HLS) type inequalities on \(\mathbb{R}^n\) and \(\mathbb{R}_+^n\). Using an operator representation, we overcome the diffi…
Nodal bubble tower solutions to slightly subcritical elliptic problems with Hardy terms
Thomas Bartsch, Qianqiao Guo
We study the possible blow-up behavior of solutions to the slightly subcritical elliptic problem with Hardy term \[ \left\{ \begin{aligned} -Δu-μ\frac{u}{|x|^2} &= |u|^{2^{\ast}-2-…
Multi-bubble nodal solutions to slightly subcritical elliptic problems with Hardy terms in symmetric domains
Thomas Bartsch, Qianqiao Guo
We consider the slightly subcritical elliptic problem with Hardy term $$ \left\{ \begin{aligned} -Δu-μ\frac{u}{|x|^2} &= |u|^{2^{\ast}-2-ε}u &&\quad \text{in } Ω\subset\mathbb{R}^N…
Differentiability of the -Variable Function Deduced by the Differentiability of the -Variable Function
Zhenglin Ye, Qianqiao Guo
In this paper, some sufficient conditions for the differentiability of the -variable real-valued function are obtained, which are given based on the differentiability of the $n-…
Uniqueness results for positive harmonic functions on satisfying a nonlinear boundary condition
Qianqiao Guo, Xiaodong Wang
We prove some uniqueness results for positive harmonic functions on the unit ball satisfying a nonlinear boundary condition
Liouville type theorems on manifolds with nonnegative curvature and strictly convex boundary
Qianqiao Guo, Fengbo Hang, Xiaodong Wang
We prove some Liouville type theorems on smooth compact Riemannian manifolds with nonnegative sectional curvature and strictly convex boundary. This gives a nonlinear generalizatio…
Negative Power Nonlinear Integral Equations on Bounded Domains
Jingbo Dou, Qianqiao Guo, Meijun Zhu
This is the continuation of our previous work [5], where we introduced and studied some nonlinear integral equations on bounded domains that are related to the sharp Hardy-Littlewo…
Blowup analysis for integral equations on bounded domains
Qianqiao Guo
Consider the integral equation \begin{equation*} f^{q-1}(x)=\int_Ω\frac{f(y)}{|x-y|^{n-α}}dy,\ \ f(x)>0,\quad x\in \overline Ω, \end{equation*} where is a s…
Subcritical Approach to Sharp Hardy-Littlewood-Sobolev Type Inequalities on the Upper Half Space
Jingbo Dou, Qianqiao Guo, Meijun Zhu
In this paper we establish the reversed sharp Hardy-Littlewood-Sobolev (HLS for short) inequality on the upper half space and obtain a new HLS type integral inequality on the upper…
Two-bubble nodal solutions for slightly subcritical Fractional Laplacian
Qianqiao Guo, Yunyun Hu
In this paper, we consider the existence of nodal solutions with two bubbles to the slightly subcritical problem with the fractional Laplacian \begin{equation*} \left\{\aligned &(-…
Multi-bubble nodal solutions to slightly subcritical elliptic problems with Hardy terms
Thomas Bartsch, Qianqiao Guo
The paper is concerned with the slightly subcritical elliptic problem with Hardy term \[ \left\{ \begin{aligned} -Δu-μ\frac{u}{|x|^2} &= |u|^{2^{\ast}-2-ε}u &&\quad \text{in } Ω, \…
Ground states of nonlinear Schrödinger equations with sum of periodic and inverse-square potentials
Qianqiao Guo, Jarosław Mederski
We study the existence of solutions of the following nonlinear Schrödinger equation \begin{equation*} -Δu + \Big(V(x)-\fracμ{|x|^2}\Big) u = f(x,u) \hbox{ for } x\in\mathbb{R}^N\se…