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Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian

Published online by Cambridge University Press:  27 November 2012

Patricio Felmer
Affiliation:
Departamento de Ingeniería Matemática and Centro de Modelamiento Matemático, Universidad de Chile, Casilla 170, Correo 3, Santiago, Chile (pfelmer@dim.uchile.cl)
Alexander Quaas
Affiliation:
Departamento de Matemática, Universidad Técnica Federico Santa María, Casilla 110-V, Avenida España 1680, Valparaíso, Chilealexander.quaas@usm.cl; jinggang.tan@usm.cl)
Jinggang Tan
Affiliation:
Departamento de Matemática, Universidad Técnica Federico Santa María, Casilla 110-V, Avenida España 1680, Valparaíso, Chilealexander.quaas@usm.cl; jinggang.tan@usm.cl)
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Abstract

We study the existence of positive solutions for the nonlinear Schrödinger equation with the fractional Laplacian

Furthermore, we analyse the regularity, decay and symmetry properties of these solutions.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2012
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