Maximal monotonicity for the sum of two subdifferential operators in L p-spaces

摘要

This paper is devoted to providing a sufficient condition for the maximality of the sum of subdifferential operators defined on reflexive Banach spaces and proving the maximal monotonicity in Lp(Ω) ×Lp′(Ω) of the nonlinear elliptic operator u→-Δmu+β(u(·)) with a maximal monotone graph β.