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Normalized solutions to strongly indefinite semilinear equations

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final-final-BufEstSer.pdf (296.2Kb)
Date
2006
Dewey
Analyse
Sujet
Normalized solutions; nonlinear elliptic partial differential equations; Morse index; indefinite functionals; variational methods; penalization
Journal issue
Advanced nonlinear studies
Volume
6
Number
2
Publication date
2006
Article pages
323-347
URI
https://basepub.dauphine.fr/handle/123456789/854
Collections
  • CEREMADE : Publications
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Author
Buffoni, Boris
Esteban, Maria J.
Séré, Eric
Type
Article accepté pour publication ou publié
Abstract (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

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