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Normalized solutions to strongly indefinite semilinear equations

Buffoni, Boris; Esteban, Maria J.; Séré, Eric (2006), Normalized solutions to strongly indefinite semilinear equations, Advanced nonlinear studies, 6, 2, p. 323-347

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Type
Article accepté pour publication ou publié
Date
2006
Nom de la revue
Advanced nonlinear studies
Volume
6
Numéro
2
Pages
323-347
Métadonnées
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Auteur(s)
Buffoni, Boris
Esteban, Maria J. cc
Séré, Eric
Résumé (EN)
In this paper we discuss the existence of normalized solutions of nonlinear elliptic PDEs in gaps of the essential spectrum of the corresponding differential operator. This issue can be of interest, for instance, in nonlinear optics or in crystalline models with impurities
Mots-clés
Normalized solutions; nonlinear elliptic partial differential equations; Morse index; indefinite functionals; variational methods; penalization