UNIFORM LARGE DEVIATION PRINCIPLES OF FRACTIONAL STOCHASTIC <em>P</em>-LAPLACIAN REACTION-DIFFUSION EQUATIONS ON UNBOUNDED DOMAINS

This paper is concerned with uniform large deviation principles of fractional stochastic <i>p</i>-Laplacian reaction-diffusion equations driven by additive noise defined on unbounded domains. The nonlinear drift is assumed to be locally Lipschitz continuous. Due to the non-compact of the solution operator, we will use the method of weak convergence to show the result.