Sufficient conditions for existence of solutions to vectorial differential inclusions

Ana Cristina Barroso (1) , Gisella Croce (2) , Ana Ribeiro (1)

1 CMAF - Centro de Matemática e Aplicações Fundamentais
2 LMAH - Laboratoire de Mathématiques Appliquées du Havre

In this paper we discuss the existence of solutions to vectorial differential inclusions. We investigate sufficient conditions for existence, more flexible than those available in the literature, so that important applications can be fitted in the theory. We also study some of these applications.

Domaines: Equations aux dérivées partielles [math.AP]

Ana Cristina Barroso, Gisella Croce, Ana Ribeiro. Sufficient conditions for existence of solutions to vectorial differential inclusions. Houston Journal of Mathematics, 2011. ⟨hal-00581507⟩