Abdelhaq Mouida, Noureddine Alaa, Salim Mesbahi, Walid Bouarifi
Abstract:
In this article we show the existence of weak solutions for some
quasilinear degenerate elliptic systems arising in modeling chemotaxis
and angiogenesis.
The nonlinearity we consider has critical growth with respect to the
gradient and the data are in L^1.
Submitted December 7, 2012. Published June 22, 2013.
Math Subject Classifications: 35J55, 35J60, 35J70.
Key Words: Degenerate elliptic systems; auasilinear; chemotaxis;
angiogenesis; weak solutions.
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Abdelhaq Mouida Laboratory LAMAI, Faculty of Science and Technology of Marrakech University Cadi Ayyad, B.P. 549 Street Abdelkarim Elkhattabi, Marrakech - 40000, Morocco email: abdhaq.mouida@gmail.com | |
Noureddine Alaa Laboratory LAMAI, Faculty of Science and Technology of Marrakech University Cadi Ayyad, B.P. 549, Street Abdelkarim Elkhattabi, Marrakech - 40000, Morocco email: n.alaa@uca.ma | |
Salim Mesbahi Department of Mathematics, Faculty of Science University Ferhat Abbas, Setif I, Pole 2 - Elbez Setif - 19000, Algeria email: salimbra@gmail.com | |
Walid Bouarifi Department of Computer Science National School of Applied Sciences of Safi Cadi Ayyad University Sidi Bouzid, BP 63, Safi - 46000, Morocco email: w.bouarifi@uca.ma |
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