4 citations · 8 across the 12 of their papers we have counts for
8 papers · 1 filter
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…
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…