Коэрцитивные операторы суперпозиции в пространствах Лебега

The article introduces the concept of increasing the nonlinear operator, which operates out of a given Banach space to its dual. Construct the superposition operator as a composition of continuous functions and measurable function which is an element of Lebesgue space Include the necessary and sufficient conditions that the superposition operator is increasing. To prove this, a special-function method steps