  We propose a non uniform web spline based finite element analysis for
elliptic partial differential equation with the gradient type nonlinearity in
their principal coefficients like p-laplacian equation and Quasi-Newtonian
fluid flow equations. We discuss the well-posednes of the problems and also
derive the apriori error estimates for the proposed finite element analysis and
obtain convergence rate of $\mathcal{O}(h^{\alpha})$ for $\alpha > 0$.
