Analysis of a Low Linear Perturbed Choquard Equation with Critical Growth

In this note, we are concerned with the following critical Choquard equation with lower linear perturbation $$\begin{aligned} -\Delta u+a(x)u=(I_{\alpha }*|u|^{2^*_{\alpha }})|u|^{2^*_{\alpha }-2}u, \quad u\in D^{1,2}(\mathbb R^N). \end{aligned}$$ where $$N\ge 3,\max \{N-4,0\}<\alpha 更多