On Well-posedness of Stochastic Anisotropic $p$-Laplace Equation Driven by L\'evy noise

Abstract

In this article, well-posedness of stochastic anisotropic $p$-Laplace equation driven by L\'evy noise is shown. Such an equation in deterministic setting was considered by Lions [7]. The results obtained in this article can be applied to solve a large class of semilinear and quasilinear stochastic partial differential equations.