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.
Zuo J., Liu C., Vetro C. (2023). Normalized Solutions to the Fractional Schrödinger Equation with Potential. MEDITERRANEAN JOURNAL OF MATHEMATICS, 20(4), 1-12 [10.1007/s00009-023-02422-1].
Normalized Solutions to the Fractional Schrödinger Equation with Potential
Vetro C.
2023-01-01
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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