EXISTENCE OF BOUNDARY BLOW UP SOLUTIONS FOR SINGULAR OR DEGENERATE FULLY NONLINEAR EQUATIONS

Françoise Demengel (1) , Olivier Goubet (2)

1 AGM - UMR 8088 - Analyse, Géométrie et Modélisation
2 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée

We prove here the existence of boundary blowup solutions forfully nonlinear equations in general domains, for a nonlinearity satisfying Keller- Osserman type condition. If moreover the nonlinearity is non decreasing , we prove uniqueness for boundary blow up solutions on balls for operators related to Pucci's operators.

Mots clés: Boundary Blow up solutions; Fully nonlinear equations

Domaines: Autre; Equations aux dérivées partielles [math.AP]

Françoise Demengel, Olivier Goubet. EXISTENCE OF BOUNDARY BLOW UP SOLUTIONS FOR SINGULAR OR DEGENERATE FULLY NONLINEAR EQUATIONS. Communications on Pure and Applied Mathematics, 2013, 12 (2), pp.621-645. ⟨hal-00842108⟩