Singular limits for 2-dimensional elliptic problem involving exponential nonlinearity with nonlinear gradient term

Given a bounded open regular set Omega subset of R(2) and x(1), x(2), ... , x(m) is an element of Omega, we give a sufficient condition for the problem -div(a(u)del u) = rho(2) f(u) to have a positive weak solution u in Omega with u = 0 on partial derivative Omega, which is singular at each x(i) as the parameter rho tends to 0 and under suitable assumptions on exponential functions a(u) and f(u).