  This note is devoted to prove the following results on RCD(K,N)-spaces: 1)
minimizers of one-phase Bernoulli problems are locally Lipschitz continuous; 2)
minimizers of classical obstacle problems are quadratic growth away from the
free boundary. Recently, both of these two results were obtained on
non-collapsed RCD(K,N)-spaces; see [13,23]. This note will prove these two
results without assuming that the ambient space is non-collapsed. We also
include a proof of nondegeneracy of minimizers and locally finiteness of
perimeter of their free boundaries for two-phase Bernoulli problems.
