 
Summary: Scuola Normale Superiore  Pisa July 1988
Limit Problems for some
Linear and Nonlinear Systems
Emilio Acerbi
This paper contains the summary of a talk given by the author at the Loyola
University of Chicago, during a workshop on "Weak Convergence Methods in Nonlinear
PDEs".
We will examine some limit problems for elliptic systems with discontinuous coeffi
cients: assume = 1 2 , where 1 and 2 are open and is the common part
of their boundaries, and consider the problem
(1)
Au = in 1
Bu = in 2
transmission conditions on
boundary conditions on ,
where A and B are elliptic operators.
We are interested in the behaviour of the solutions to problem (1) when both 2
