Positive solutions to nonlinear p-Laplace equations with Hardy potential in exterior domains

Vitali Liskevich, Sofya Lyakhova, Vitaly Moroz

We study the existence and nonexistence of positive (super) solutions to the nonlinear $p$-Laplace equation $$-{\Delta }_{p}u-\frac{\mu }{|x{|}^p}{u}^{p-1}=\frac{C}{|x{|}^{\sigma }}{u}^q$$ in exterior domains o…