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 |
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| container_title | Mediterranean journal of mathematics |
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| creator | Zuo, Jiabin Liu, Chungen Vetro, Calogero |
| description | 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. |
| doi_str_mv | 10.1007/s00009-023-02422-1 |
| format | Article |
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| ispartof | Mediterranean journal of mathematics, 2023-08, Vol.20 (4), Article 216 |
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| language | eng |
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| subjects | Mathematical analysis Mathematics Mathematics and Statistics Operators (mathematics) Schrodinger equation |
| title | Normalized Solutions to the Fractional Schrödinger Equation with Potential |
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