Existence of solutions for semi-linear equations involving the $p$-Laplacian : the non coercive case

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 equations involving the pLaplacian in the case where the functional is non coercive, ie, "beyond the first eigenvalue"

Mots clés: pLaplacian; first eigenvalue

Domaines: Equations aux dérivées partielles [math.AP]

Isabeau Birindelli, Françoise Demengel. Existence of solutions for semi-linear equations involving the $p$-Laplacian : the non coercive case. Calculue of Variations and partial differential equations, 2004, 20 (4), pp.343-366. ⟨hal-00842589⟩