Existence of solutions for quasilinear elliptic degenerate systems with L^1 data and nonlinearity in the gradient

Existence of solutions for quasilinear elliptic degenerate systems with L^1 data and nonlinearity in the gradient

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.

Bibliographic Details
Main Authors: Abdelhaq Mouida, Noureddine Alaa, Salim Mesbahi, Walid Bouarifi
Format: Article
Language:English
Published: Texas State University 2013-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Degenerate elliptic systems
auasilinear
chemotaxis
angiogenesis
weak solutions
Online Access:http://ejde.math.txstate.edu/Volumes/2013/142/abstr.html
Description
Summary: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.
ISSN:1072-6691

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