An elliptic problem with degenerate coercivity and a singular quadratic gradient lower order term

Gisella Croce (1)

1 LMAH - Laboratoire de Mathématiques Appliquées du Havre

In this paper we study a Dirichlet problem for an elliptic equation with degenerate coercivity and a singular lower order term with natural growth with respect to the gradient. We will show that, even if the lower order term is singular, it has some regularizing effects on the solutions

Domaines: Equations aux dérivées partielles [math.AP]

Gisella Croce. An elliptic problem with degenerate coercivity and a singular quadratic gradient lower order term. Discrete and Continuous Dynamical Systems - Series S, 2012, pp.507-530. ⟨hal-00581505⟩