articleProceedings of the Royal Society of Edinburgh Section A MathematicsNov 27, 2012BRONZE OA

Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian

PFPatricio FelmerAQAlexander QuaasJTJinggang Tan

University of Chile

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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.

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Topics & keywords

Topics
Keywords
  • Fractional Laplacian
  • Nonlinear system
  • Symmetry (geometry)
  • Laplace operator
  • Mathematical physics
  • Mathematics
  • Nonlinear Schrödinger equation
  • Mathematical analysis
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