Semiclassical limit for Schrodinger equations with a magnetic field and Hartree-type nonlinearities

Marco Squassina

doi:10.1017/S0308210509000584

Semiclassical limit for Schrodinger equations with a magnetic field and Hartree-type nonlinearities

Marco Squassina

Risultato della ricerca: Contributo in rivista › Articolo › peer review

92 Citazioni (Scopus)

Abstract

The semi-classical regime of standing wave solutions of a Schr¨odinger equation in the presence of non-constant electric and magnetic potentials is studied in the case of non-local nonlinearities of Hartree type. It is shown that there exists a family of solutions having multiple concentration regions which are located around the minimum points of the electric potential.

Lingua originale	Inglese
pagine (da-a)	973-1009
Numero di pagine	37
Rivista	PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS
Volume	140
DOI	https://doi.org/10.1017/S0308210509000584
Stato di pubblicazione	Pubblicato - 2010

Keywords

Semiclassical limits

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10.1017/S0308210509000584

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abstract = "The semi-classical regime of standing wave solutions of a Schr¨odinger equation in the presence of non-constant electric and magnetic potentials is studied in the case of non-local nonlinearities of Hartree type. It is shown that there exists a family of solutions having multiple concentration regions which are located around the minimum points of the electric potential.",

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AB - The semi-classical regime of standing wave solutions of a Schr¨odinger equation in the presence of non-constant electric and magnetic potentials is studied in the case of non-local nonlinearities of Hartree type. It is shown that there exists a family of solutions having multiple concentration regions which are located around the minimum points of the electric potential.

KW - Semiclassical limits

UR - http://hdl.handle.net/10807/89960

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DO - 10.1017/S0308210509000584

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JO - PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS

JF - PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS

ER -

Semiclassical limit for Schrodinger equations with a magnetic field and Hartree-type nonlinearities

Abstract

Keywords

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