Ground state solutions for nonlinear fractional Schrödinger equations in \(\mathbb{R}^N\). (English) Zbl 1281.81034
Summary: We construct solutions to a class of Schrödinger equations involving the fractional Laplacian. Our approach is variational in nature, and based on minimization on the Nehari manifold.{
©2013 American Institute of Physics}
©2013 American Institute of Physics}
MSC:
| 81Q05 | Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics |
| 35R11 | Fractional partial differential equations |
| 49S05 | Variational principles of physics |
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