Multiple and concentration of nontrivial nonnegative solutions for a fractional Choquard equation with critical exponent

Shaoxiong Chen, Yue Li, Zhipeng Yang

In present paper, we study the fractional Choquard equation $${\epsilon }^{2s}(-\Delta {)}^{s}u+V(x)u={\epsilon }^{\mu -N}(\frac{1}{|x{|}^{\mu }}\ast F(u))f(u)+|u{|}^{2_s^{\ast }-2}u$$ where $\varepsilon>…