Normalized solutions to the fractional Schrödinger equations with potential and saturable nonlinearity
Year: 2025
Type: article
Abstract: This paper is concerned with the existence of normalized solutions to a kind of fractional Schrödinger equations driven by a fractional operator with a parametric potential term and a saturable nonlinear term. We achieve the minimization of the energy functional and prove the existence of normalized solutions for the equation under specific conditions that we assume for the potential and saturable nonlinearity.
Source: Modern Mathematical Methods
DOI: 10.64700/mmm.53
Authors: Wen Liao, Qiongfen Zhang
Institution: Guilin University of Technology
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4413355517