А boundary value proЫem describing the Hall effect in а serniconductor with а periodic set of electrodes

An explicit solution has been set up for the boundary value problem of electric current running off from а periodic set of parallel electrodes soldered into а semiconductor film placed in а constant magnetic field. From the mathematical standpoint, а boundary value problem for harmonic functions with а skew derivative in the boundary condition has been studied. An explicit solution to this problem has been constructed bу reducing it to the Riemann-Hilbert problem for analytic functions followed bу the conformal mapping onto the canonical domain, in which the Riemann-Hilbert problem has а solution in the closed form.