2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/145790We prove a Freidlin-Wentzell large deviation principle for general stochastic evolution equations with small perturbation multiplicative noises. In particular, our general result can be used to deal with a large class of quasi linear stochastic partial differential equations, such as stochastic porous medium equations and stochastic reaction diffusion equations with polynomial growth zero order term and $p$-Laplacian second order term.17PagesProbabilityDynamical Systemstext