Quasilinear elliptic degenered equations with nonlinearity in the gradient and L^1data

Noureddine Alaa (1) , Nadia Idrissi Fatmi , Michel Pierre (2)

1 FSTG - Faculte des Sciences et techniques Gueliz
2 IRMAR - Institut de Recherche Mathématique de Rennes

In this paper we show the existence of weak solutions for some quasilinear degenered elliptic equations with Dirichlet boundary conditions. The nonlinearity we consider here has critical growth with respect to the gradient and the data is in L^1.

Domaines: Analyse numérique [math.NA]

Noureddine Alaa, Nadia Idrissi Fatmi, Michel Pierre. Quasilinear elliptic degenered equations with nonlinearity in the gradient and L^1data. International Journal of Mathematics and Statistics, 2011, 8, pp.62-69. ⟨hal-00685857⟩