Electron. J. Diff. Equ.,
Vol. 2013 (2013), No. 142, pp. 1-13.
Existence of solutions for quasilinear elliptic degenerate systems
with L^1 data and nonlinearity in the gradient
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
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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
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Salim Mesbahi
Department of Mathematics, Faculty of Science
University Ferhat Abbas, Setif I, Pole 2 - Elbez
Setif - 19000, Algeria
email: salimbra@gmail.com
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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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