Einstein-Born-Infeld-dilaton black holes in non-asymptotically flat   spacetimes
  We derive exact magnetically charged, static and spherically symmetric black hole solutions of the four-dimensional Einstein-Born-Infeld-dilaton gravity. These solutions are neither asymptotically flat nor (anti)-de Sitter. The properties of the solutions are discussed. It is shown that the black holes are stable against linear radial perturbations. 
Stoytcho S. Yazadjiev