Strong maximum principles for anisotropic elliptic and parabolic equations

Jérôme Vétois (1)

1 JAD - Laboratoire Jean Alexandre Dieudonné

We investigate vanishing properties of nonnegative solutions of anisotropic elliptic and parabolic equations. We describe the optimal vanishing sets, and we establish strong maximum principles.

Domaines: Equations aux dérivées partielles [math.AP]

Jérôme Vétois. Strong maximum principles for anisotropic elliptic and parabolic equations. Advanced Nonlinear Studies, 2012, 12 (1), pp.101-114. ⟨hal-00769037⟩