Title: Inverse antiplane problem on $n$ uniformly stressed inclusions,
Abstract: The inverse problem of antiplane elasticity on determination of the profiles
of $n$ uniformly stressed inclusions is studied. The inclusions are in ideal
contact with the surrounding matrix, the stress field inside the inclusions is
uniform, and at infinity the body is subjected to antiplane uniform shear. The
exterior of the inclusions, an $n$-connected domain, is treated as the image by
a conformal map of an $n$-connected slit domain with the slits lying in the
same line. The inverse problem is solved by quadratures by reducing it to two
Riemann-Hilbert problems on a Riemann surface of genus $n-1$. Samples of two
and three symmetric and non-symmetric uniformly stressed inclusions are
reported.