ON A CLASS OF NONLINEAR ELLIPTIC, ANISOTROPIC SINGULAR PERTURBATIONS PROBLEMS

Ogabi Chokri (1)

1 UGA ESPE Grenoble - Université Grenoble Alpes - École supérieure du professorat et de l'éducation - Académie de Grenoble

In this article we study the asymptotic behavior,as ! 0, of the solution of a nonlinear elliptic, anisotropic singular perturbations problem in cylindrical domain, the limit problem is given and strong convergences are proved, we also give an application to intergo-di¤erential problems.

Mots clés: anisotropic singular perturbations; elliptic problems; asymptotic behaviour

Domaines: Equations aux dérivées partielles [math.AP]

Ogabi Chokri. ON A CLASS OF NONLINEAR ELLIPTIC, ANISOTROPIC SINGULAR PERTURBATIONS PROBLEMS. 2014. ⟨hal-01074262⟩