  Using Girsanov transformations we construct from sticky reflected Brownian
motion on $[0,\infty)$ a conservative diffusion on $E:=[0,\infty)^n$, $n \in
\mathbb{N}$, and prove that its transition semigroup possesses the strong
Feller property for a specified general class of drift functions. By
identifying the Dirichlet form of the constructed process, we characterize it
as sticky reflected distorted Brownian motion. In particular, the relations of
the underlying analytic Dirichlet form methods to the probabilistic methods of
random time changes and Girsanov transformations are presented. Our studies are
motivated by its applications to the dynamical wetting model with
$\delta$-pinning and repulsion.
