Given an odd prime number
p
p
and a
p
p
-stabilized Artin representation
ρ
\rho
over
Q
\mathbb {Q}
, we introduce a family of
p
p
-adic Stark regulators and we formulate an Iwasawa-Greenberg main conjecture and a
p
p
-adic Stark conjecture which can be seen as an explicit strengthening of conjectures by Perrin-Riou and Benois in the context of Artin motives. We show that these conjectures imply the
p
p
-part of the Tamagawa number conjecture for Artin motives at
s
=
0
s=0
and we obtain unconditional results on the torsionness of Selmer groups. We also relate our new conjectures with various main conjectures and variants of
p
p
-adic Stark conjectures that appear in the literature. In the case of monomial representations, we prove that our conjectures are essentially equivalent to some newly introduced Iwasawa-theoretic conjectures for Rubin-Stark elements. We derive from this a
p
p
-adic Beilinson-Stark formula for finite-order characters of an imaginary quadratic field in which
p
p
is inert.
Along the way, we prove that the Gross-Kuz’min conjecture unconditionally holds for abelian extensions of imaginary quadratic fields.