The Existence Of Solutions For A Class Of Nonlinear Parabolic Equations In Monotonicity Methods

In this paper, let X = W1 (Q x [0, T]), V L~ (I, X) denote the space of strongly measurable X -valued functions, 1 [0, T], (.,-) denote the pairing of the elements x ~ X, y X~ and ((.,.)) denote the pairing of the elements u E V. v ~ V.Our purpose is to apply the theory of Pseudo-monotone perturbations of maximal monotone mappings and to give existent conditions of solutiotis for a class of evolution equations involving p-Laplacian operators, so we extend some other results.