# A sum of subharmonic and superharmonic function that is subharmonic

Suppose $$u$$ and $$v$$ are subharmonic on a bounded domain $$G$$ of $$\mathbb{R}^{n}$$ with $$n\geq2$$, and $$w=u-v.$$ If $$w$$ is also subharmonic and defined everywhere on $$G$$ (we exclude the case $$u$$ or $$v$$ is harmonic), can we say that $$u$$ and $$v$$ differ by a constant?

I don't know if I have misunderstood the question but if $$v,w$$ are (finite) subharmonic and $$u=v+w$$ then the hypothesis is satisfied, right?