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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
Journal name
Advanced nonlinear studies
Volume
6
Number
2
Pages
323-347
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Author(s)
Buffoni, Boris
Esteban, Maria J. cc
Séré, Eric
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
Subjects / Keywords
Normalized solutions; nonlinear elliptic partial differential equations; Morse index; indefinite functionals; variational methods; penalization