In the case of linear PDE, say $$Lu=0$$ if we have its green function say $G(x,y)$ then using that one can give solution of non homogenous PDE i.e. $Lu_f=f$ where $u_f=G*f$.

Is the same thing hold for non-linear PDE? Even if not, I wanted to know if we have quasilinear PDE is that holds? If this is not true at all, then what is the use of the green function for nonlinear PDE?

Any help or reference will be appreciated.