3 citations · 3 across the 10 of their papers we have counts for
5 papers · 1 filter
Nondegeneracy of bubble solutions to the Choquard equation in two dimension
Jinkai Gao, Xinfu Li, Shiwang Ma
In this paper, we study the following Choquard equation with exponential nonlinearity \begin{equation*} -Δu=\left(\int_{\R^{2}}\frac{e^{u(y)}}{|x-y|^α}dy\right)e^{u(x)},\quad \text…
Asymptotic behavior of the least energy solutions to the Choquard equation in dimension two
Jinkai Gao, Xinfu Li, Shiwang Ma
In this paper, we are interested in the following planar Choquard equation \begin{equation*} \begin{cases} -Δu=\displaystyle\left(\int\limits_Ω\frac{u^{p+1}(y)}{|x-y|^α}dy\right)u^…
Normalized solutions to lower critical Choquard equation in mass-supercritical setting
Shuai Mo, Shiwang Ma
We study the normalized solutions to the following Choquard equation \begin{equation*} \aligned &-Δu + λu =μg(u) + γ(I_α* |u|^{\frac{N+α}{N}})|u|^{\frac{N+α}{N}-2}u & \text{in\ \ }…
Asymptotic behavior of multi-peak solutions to the Brezis-Nirenberg problem. The sub-critical perturbation case
Jinkai Gao, Shiwang Ma
In this paper, we consider the following well-known Brezis-Nirenberg problem \begin{equation*} \begin{cases} -Δu= u^{2^*-1}+\varepsilon u^{q-1}, \quad u>0, &{\text{in}~Ω},\\ \quad…
Asymptotic behavior for the Brezis-Nirenberg problem. The subcritical perturbation case
Jinkai Gao, Shiwang Ma
In this paper, we are concerned with the well-known Brezis-Nirenberg problem \begin{equation*} \begin{cases} -Δu= u^{2^*-1}+\varepsilon u^{q-1},\quad u>0, &{\text{in}~Ω},\\ \quad \…