Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian

Patricio Felmer; Alexander Quaas; Jinggang Tan

doi:10.1017/S0308210511000746

Abstract

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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.

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Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian

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