It is now reasonably well understood that the interaction of neutral interstellar hydrogen (H) with the heliosphere is highly nonlinear. In particular, neutral H does not stream unimpeded into the heliosphere, experiencing instead considerable “filtration” in the region upstream of the heliopause. This leads to the formation of a hydrogen wall. A recently developed 2D Boltzmann code is used to investigate the entrance of neutral helium, oxygen, carbon, and other heavy species into the heliosphere. The role of filtration for heavy interstellar neutral atoms is described and distribution functions throughout the heliosphere are presented. ©1999 American Institute of Physics.