A Thomas-Fermi-Dirac-von Weizsacker density-functional formalism is us
ed to study the effects of many-electron Coulomb interactions on quant
um transport through two-dimensional semiconductor nanostructures. The
electron density is obtained by direct minimization of the total ener
gy functional, and an effective potential for the electrons is determi
ned as a functional of the density self-consistently. Transmission coe
fficient and conductance are computed with the effective potential inc
luded. The electron density distribution as well as the effective pote
ntial are strongly affected by the average electron density and the di
stance between the two-dimensional electron gas and the positive backg
round charge. The transmission property of a stadium-shaped open quant
um-dot system is investigated by varying these system parameters. The
electron ballistic transport problem is solved in the presence of the
many-electron effective potential and results are compared to that of
the single-electron approximation. Some important differences are obse
rved.