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

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.

Keywords

• Degenerate elliptic systems
• auasilinear
• chemotaxis
• angiogenesis
• weak solutions