On the Nonlocal Boundary Value Problem for Elliptic Differential Equations

In the talk, the nonlocal boundary value problem with Samarskii–Ionkin condition for elliptic equations in a Banach space with a strongly positive operator is investigated. The main theorems on well-posedness of this problem are established. In practice, the coercive stability estimates for solution of five types of nonlocal boundary value problems with Samarskii-Ionkin condition for elliptic differential equations are proved.