This article is the first in a series devoted to the Euler system arising from p-adic families of Beilinson-Flach elements in the first K-group of the product of two modular curves. It relates the image of these elements under the p-adic syntomic regulator (as described by Besser (2012)) to the special values at the near-central point of Hida's p-adic Rankin L-function attached to two Hida families of cusp forms.
Bertolini, M.; Darmon, H.; Rotger, V. Beilinson-Flach elements and Euler systems I: syntomic regulators and p-adic Rankin L-series. "Journal of algebraic geometry", 2015, vol. 24, núm. 2, p. 355-378.