$W^{1,1}_0(\Omega)$ in some borderline cases of elliptic equations with degenerate coercivity

Lucio Boccardo (1) , Gisella Croce (2)

1 Sapienza University of Rome - Dipartimento di Matematica "Guido Castelnuovo" [Roma I]
2 LMAH - Laboratoire de Mathématiques Appliquées du Havre

We study a degenerate elliptic equation, proving existence results of distributional solutions in some borderline cases.

Domaines: Equations aux dérivées partielles [math.AP]

Lucio Boccardo, Gisella Croce. $W^{1,1}_0(\Omega)$ in some borderline cases of elliptic equations with degenerate coercivity. Analysis and Topology of Nonlinear Differential Equations, 85, 2014. ⟨hal-00821278⟩