Abstract:

We investigated the existence of the solutions to a class of semilinear elliptic equations with nonlinear singular terms  using the technique of approximation with the help of the integrability of the solution to the first step of the approximate problem and some  priori estimates,  proving the existence of weak solutions for this problem when m>1, 1<α<2-1/m so as to  get the effect of the summability of the weighted function f(x) and the nonlinear singular term on the right hand side of the equation.

Key words: nonlinear, singular term, semilinear elliptic equation, existence