Ground state solutions for nonlinear fractional Schrödinger equations in ${\mathbb{R}}^N$

Abstract

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.

17 pages

References in corpus (6)

• An extension problem related to the fractional Laplacian
• Fractional Quantum Mechanics and Levy Path Integrals
• Fractional Schrodinger equation
• Multiplicity results for some nonlinear Schroedinger equations with potentials
• Existence and symmetry results for a Schrödinger type problem involving the fractional Laplacian
• Uniqueness of Ground States for Pseudo-Relativistic Hartree Equations

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