Let be a bounded open subset of , function in Stummel classes where and
 semilinear monotone elliptic equation, is symmetric matrix, elliptic, bounded, and non decreasing Lipschitz. By proving weighted estimation for class with its weight which allows us to use Stampacchia’s lemma, we obtained the existence uniqueness solution this equation.

In this paper, we present algorithms for implementation of the GHS attack to Elliptic curve cryptosystems (ECC). In particular, we consider two large classes of elliptic curves over cubic extension fields of odd characteristics which have weak covering curves against GHS attack, whose existence have been shown recently [16][17][18]. We show an algorithm to find definition equation of the coveri...