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Monotonicity of Standing waves for the nonlinear fractional Schrödinger equations
  • Yajie Zhang,
  • Feiyao Ma,
  • Weifeng Wo
Yajie Zhang
Ningbo University
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Feiyao Ma
Ningbo University
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Weifeng Wo
Ningbo University
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Abstract

In this paper, we investigate the standing waves of fractional Laplacian Schrödinger equations. The monotonicity of standing waves of fractional Schrödinger equations was obtainded by using sliding method. In addition, non-existence result of standing waves is presented.