Normalized Solutions to the Fractional Schrödinger Equation with Potential

Normalized Solutions to the Fractional Schrödinger Equation with Potential

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 of...

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Veröffentlicht in:Mediterranean journal of mathematics 2023-08, Vol.20 (4), Article 216
Hauptverfasser: Zuo, Jiabin, Liu, Chungen, Vetro, Calogero
Format: Artikel
Sprache:eng
Schlagworte:
Mathematical analysis
Mathematics
Mathematics and Statistics
Operators (mathematics)
Schrodinger equation
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Zusammenfassung: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.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-023-02422-1