6533b82cfe1ef96bd128ecce

RESEARCH PRODUCT

Normalized Solutions to the Fractional Schrödinger Equation with Potential

Jiabin ZuoChungen LiuCalogero Vetro

subject

potential functionSettore MAT/05 - Analisi MatematicaGeneral MathematicsSchrödinger equationfractional operatornormalized solution

description

AbstractThis 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.

yearjournalcountryeditionlanguage
2023-05-22
10.1007/s00009-023-02422-1https://hdl.handle.net/10447/599793