Abstract
In this paper, we consider a generalized Boussinesq-type equation posed in (0, infinity) x Omega, where Omega subset of R-N. The considered equation arises in many physical models including the description of nonstationary processes in crystalline semiconductors. We will handle two cases: Omega = (R-N\B-1) over bar and Omega = B-1\{0}, where B-1 is the closed unit ball in RN. Using a unified approach, we establish nonexistence criteria for each case. Moreover, no restriction on the sign of solutions is imposed.