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Normalized Solutions to the Fractional Schrödinger Equation with Potential
Jiabin Zuo, Chungen Liu, Calogero Vetro
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Source: Crossref
Published: May 22, 2023
DOI: 10.1007/s00009-023-02422-1
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Abstract This paper is concerned with the existence of normalized solutions to a class of Schrödinger equations driven by a fractional operator with a parametric potential term. We obtain minimization of energy functional associated with that equations assuming basic conditions for the potential. Our work offers a partial extension of previous results to the non-local case.
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