4 papers
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*} -Îu=\left(\int_{\R^{2}}\frac{e^{u(y)}}{|x-y|^α}dy\right)e^{u(x)},\quad \te…
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} -Îu=\displaystyle\left(\int\limits_Ω\frac{u^{p+1}(y)}{|x-y|^α}dy\right…
Existence of normalized solutions to Choquard equation with general mixed nonlinearities
Meiling Zhu, Xinfu Li
We study the existence of normalized solutions to the following Choquard equation with being a Berestycki-Lions type function \begin{equation*} \begin{cases} -Îu+λu=(I_α\ast…
Existence of positive solutions for Kirchhoff type problems with critical exponent in exterior domains
Liqian Jia, Xinfu Li, Shiwang Ma
In this paper, by using variational methods we study the existence of positive solutions for the following Kirchhoff type problem: $$ \left\{ \begin{array}{ll} -\left(a+b\mathlarge…