Local index of potential operators of monotone type - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Houston Journal of Mathematics Année : 1990

Local index of potential operators of monotone type

Résumé

We prove the following result: if f = \varphi' is the Ghteaux derivative of a functional on a reflexive Banach space, and is demicontinuous of class (S)_+, then it has local index +1 at every isolated zero which is also a local minimum point for q•. An application to the existence of multiple solutions of nonlinear partial differential equations is given.
Fichier principal
Vignette du fichier
90-hjm.pdf (411.81 Ko) Télécharger le fichier
Origine : Accord explicite pour ce dépôt
Loading...

Dates et versions

hal-00002657 , version 1 (17-01-2019)

Identifiants

  • HAL Id : hal-00002657 , version 1

Citer

Satyanad Kichenassamy. Local index of potential operators of monotone type. Houston Journal of Mathematics, 1990, 16, pp.139-149. ⟨hal-00002657⟩
94 Consultations
13 Téléchargements

Partager

Gmail Facebook X LinkedIn More