Pseudorelativistic Hartree Equation with General Nonlinearity: Existence, Non-existence and Variational Identities

Dimitri Mugnai

doi:10.1515/ans-2013-0403

Publicly Available Published by De Gruyter March 10, 2016

Pseudorelativistic Hartree Equation with General Nonlinearity: Existence, Non-existence and Variational Identities

Dimitri Mugnai

From the journal Advanced Nonlinear Studies

https://doi.org/10.1515/ans-2013-0403

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.

Keywords: Pseudo-relativistic Hartree equation; positive potential

Published Online: 2016-03-10

Published in Print: 2013-11-01

Pseudorelativistic Hartree Equation with General Nonlinearity: Existence, Non-existence and Variational Identities

Abstract

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