Elliptic inequalities with nonlinear convolution and Hardy terms in cone-like domains

Marius Ghergu, Zhe Yu

We study the inequality $-\Delta u-\frac{\mu }{|x{|}^2}u\ge (|x{|}^{-\alpha }\ast u^p)u^q$ in an unbounded cone ${\mathcal{C}}_{\Omega }^{\rho }\subset {\mathbb{R}}^N$ ($N\ge 2$) generated by a subdomain $\Omega$ of the…