Coron problem for nonlocal equations invloving Choquard nonlinearity

Divya Goel, Vicentiu D. Radulescu, K. Sreenadh

We study the problem \[ -\De u = \left(\int_{\Om}\frac{|u(y)|^{2^*_μ}}{|x-y|^μ}dy\right)|u|^{2^*_μ-2}u, \; \text{in}\; \Om,\quad u = 0 \; \text{ on } \pa \Om , \] where $\Om$ is a…