Interaction of Boundary Singular Points in an Elliptic Boundary Value Problem

The paper continues the construction of the L-P-theory of elliptic Dirichlet and Neumann boundary value problems with discontinuous piecewise constant coefficients in divergent form for an unbounded domain Omega subset of R-2 with a piecewise C-1 smooth noncompact Lipschitz boundary and C(1 )smooth discontinuity lines of the coefficients. An earlier constructed L-P-theory is generalized to the case of different smallest eigenvalues corresponding to a finite and an infinite singular point, and the effect of their interaction is further studied in the class of functions with first derivatives from L-P(Omega) in the entire range of the exponent P is an element of(1,infinity).