For a given continuous function
$$g:~\overline{\mathbb {D}}\rightarrow {\mathbb {C}}$$
and a given continuous function
$$\psi :~{\mathbb {T}}\rightarrow {\mathbb {C}}$$
, we establish some Schwarz type Lemmas for mappings f satisfying the PDE:
$$\Delta f=g$$
in
$${\mathbb {D}}$$
, and
$$f=\psi $$
in
$${\mathbb {T}}$$
, where
$${\mathbb {D}}$$
is the unit disk of the complex plane
$${\mathbb {C}}$$
and
$${\mathbb {T}}=\...
