We prove several existence and non existence results of solitary waves for a class of nonlinear pseudo–relativistic Hartree equations with general nonlinearities. We use variational methods and some new variational identities involving the half Laplacian.
Pseudorelativistic Hartree equation with general nonlinearity: existence, non existence and variational identities
MUGNAI, Dimitri
2013
Abstract
We prove several existence and non existence results of solitary waves for a class of nonlinear pseudo–relativistic Hartree equations with general nonlinearities. We use variational methods and some new variational identities involving the half Laplacian.File in questo prodotto:
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