  We analyze a non-linear elliptic boundary value problem, that involves $(p,
q)$ Laplace operator, for the existence of its positive solution in an
arbitrary smooth bounded domain. The non-linearity here is driven by a
continuous function in $(0,\infty)$ which is singular, monotonically increasing
and eventually positive. We prove the existence of a positive solution of this
problem using a fixed point theorem due to Amann\cite{amann1976fixed}. In
addition, for a specific nonlinearity we derive that the obtained solution is
maximal in nature. The main results obtained here are first of its kind for a
$(p, q)$ Laplace operator in an arbitrary bounded domain.
