On some partial differential equation for non coercive functional and critical Sobolev exponent

Isabeau Birindelli (1) , Françoise Demengel (2)

1 Sapienza University of Rome - Dipartimento di Matematica "Guido Castelnuovo" [Roma I]
2 AGM - UMR 8088 - Analyse, Géométrie et Modélisation

We consider the Dirichlet Problem for equations involving the Laplacian in the case "beyond the first eigenvalue" and with right hand side with critical growth.

Mots clés: Laplacian; Critical Growth; first eigenvalue

Domaines: Equations aux dérivées partielles [math.AP]

Isabeau Birindelli, Françoise Demengel. On some partial differential equation for non coercive functional and critical Sobolev exponent. Differntial and Integral equations, 2002, 15 (7), pp.823-837. ⟨hal-00842593⟩