The Application Of The Sums Of Ranges Of Monotone Operators In The Mixed Boundary Problems

By defining some operators and studying their properties , we take nonlinear elliptic equation (I) and nonlinear parabolic equation (II) into consideration in which we make use of the related results on sums of ranges in Reich, at the same time , we establish the existing conditions of the above two equations , thus we extend the related results in Pascali D. WhereHere is an arbitrary fixed number. BETA: R@R is a maximal monotone mapping . Ω is an open set in Rn , the boundary of Ω i.e. Ω is smooth enough . denotes the outward normal of Ω.(II]Where , Ω, p, q, beta are as equation (I) , f(x, t) denotes the outward normal of...