  The strongest constraints on the Yukawa-type corrections to Newton's
gravitational law and on the coupling constants of axion-like particles to
nucleons, following from recently performed experiments of the Casimir physics,
are presented. Specifically, the constraints obtained from measurements of the
lateral and normal Casimir forces between sinusoidally corrugated surfaces, and
from the isoelectronic experiment are considered, and the ranges of their
greatest strength are refined. Minor modifications in the experimental setups
are proposed which allow strengthening the resultant constraints up to an order
of magnitude. The comparison with some weaker constraints derived in the
Casimir regime is also made.
