AN EXISTENCE AND UNIQUENESS OF THE SOLUTION OF SEMILINEAR MONOTONE ELLIPTIC EQUATION WITH THE DATA IN STUMMEL CLASSES

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.