Existence results and a priori bounds for higher order elliptic equations and systems

Boyan Sirakov (1, 2)

1 MODAL'X - Modélisation aléatoire de Paris X
2 CAMS - Centre d'Analyse et de Mathématique sociales

We apply degree theory to prove the existence of positive solutions of semilinear elliptic systems. As an application we obtain a number of new results on higher order equations which appear frequently in applications. In particular, we extend to these equations and systems the notions of sublinearity and superlinearity, classical in the setting of second order equations.

Domaines: Equations aux dérivées partielles [math.AP]

Boyan Sirakov. Existence results and a priori bounds for higher order elliptic equations and systems. Journal de Mathématiques Pures et Appliquées, 2008, 89 (2), pp.114-133. ⟨hal-00130478v2⟩