New critical exponents in a fully parabolic quasilinear Keller–Segel system and applications to volume filling models

Author:

Cieślak Tomasz,Stinner Christian

Funder

NCN

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference24 articles.

1. Dynamic theory of quasilinear parabolic systems, III. Global existence;Amann;Math. Z.,1989

2. Uniform estimates and blow-up behavior for solutions of −Δu=V(x)eu in two dimensions;Brézis;Comm. Partial Differential Equations,1991

3. Local and global solvability of some parabolic systems modelling chemotaxis;Biler;Adv. Math. Sci. Appl.,1998

4. The Debye system: existence and large time behavior of solutions;Biler;Nonlinear Anal.,1994

5. Finite time blow-up for a one-dimensional quasilinear parabolic–parabolic chemotaxis system;Cieślak;Ann. Inst. H. Poincaré Anal. Non Linéaire,2010

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