We consider a fully parabolic model for chemotaxis with volume-filling
effect and a nonlinear diffusion that degenerates in a two-sided fashion. We address
the questions of existence of weak solutions and of their regularity by using,
respectively, a regularization method and the technique of intrinsic scaling.Outstanding Young Investigators Award from the Research
Council of Norway; (J. M. Urbano) CMUC/FCT, Project
POCI/MAT/57546/200