%0 Journal Article %T Weakly interacting Bose-Einstein condensates in temperature-dependent generic traps %A E. Castellanos %A F. Briscese %A M. Grether %A M. de Llano %J Physics %D 2014 %I arXiv %R 10.7868/S0370274X15080123 %X The shift in condensation temperature caused by interactions is studied up to second order in the s-wave scattering length in a Bose-Einstein condensate trapped in a temperature-dependent three-dimensional generic potential. With no assumptions other than the mean-field approach and semiclassical approximations it is shown that the inclusion of a temperature-dependent trap improves the empirical values of the numerical parameters compared to those obtained in previous reports on the temperature shift. %U http://arxiv.org/abs/1404.3255v1