  We formulate an equivariant version of Greenberg's $p$-adic Artin conjecture
for smoothed equivariant $p$-adic Artin $L$-functions in the context of an
arbitrary one-dimensional admissible $p$-adic Lie extension of a totally real
number field. Using results of the author on the Wedderburn decomposition of
the total ring of quotients of the Iwasawa algebra $\Lambda(\mathcal G)$, we
deduce validity of the conjecture in several interesting cases.
