Fractional KPZ equations with critical growth in the gradient respect to Hardy potential

Boumediene Abdellaoui, Ireneo Peral, Ana Primo +1

In this work we study the existence of positive solution to the fractional quasilinear problem, $$ \left\{ \begin{array}{rcll} (-Δ)^s u &=&λ\dfrac{u}{|x|^{2s}}+ |\nabla u|^{p}+ μf…