The stationary case

Abstract

In this chapter we consider the following coupled boundary value problems of the elliptic-elliptic type (Formula Presented) with the following natural transmission conditions at x = b (Formula Presented) and one of the following types of boundary conditions (Formula Presented) where (Formula Presented) is a small parameter, 0 < (Formula Presented). In this chapter, we denote again by (P.k)ε the problem which comprises (S), (TC), and (BC.k), k = 1, 2, 3, just formulated above. We will make use of the following assumptions on the data: (Formula Presented) is a continuous nondecreasing function.