Double phase inequalities with convolution nonlinearity in exterior domains

Marius Ghergu

We discuss the existence of $C^1$-solutions for two related double phase inequalities: \begin{equation*} {\mathcal L}_g u\pm Δ_s u\geq (|x|^{-α}*u^p)u^q \quad\mbox{ in }\mathbb R^N…