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
TypeArticle accepté pour publication ou publié
Journal nameAdvanced nonlinear studies
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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 / KeywordsNormalized solutions; nonlinear elliptic partial differential equations; Morse index; indefinite functionals; variational methods; penalization
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