In this talk we establish the strong existence, pathwise uniqueness and a comparison theorem to a stochastic partial differential equation driven by Gaussian colored noise with non-Lipschitz drift and diffusion coefficients with finite spatial domain and Dirichlet, Neumann or mixed nonhomogeneous random boundary conditions. The H\"older continuity of the solution in both time and space variables is also studied. This talk is based on a joint work with Jie Xiong.