ABSTRACT
This paper deals with the chemotaxis-consumption model with singular sensitivity and nonlinear diffusion
under the homogenous Neumann boundary condition in a smooth-bounded domain
, with positive parameters
and
,
,
for
, m>1 and
. The main goal of this paper is to prove the existence of global classical solutions when
and
.
2010 Mathematics Subject Classification:
Disclosure statement
No potential conflict of interest was reported by the authors.