Multiplicity of Normalized Solutions for Sobolev Supercritical Schrödinger Equations With Potential

Mathematical Methods in the Applied Sciences 2026

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Authors: Quanqing Li, Yuanyang Yu, Wenbo Wang, Meiqi Liu
DOI: 10.1002/mma.70472
Cited by: 3
References: 39

Abstract

ABSTRACT In the present paper, we investigate the multiplicity of normalized solutions to the following Sobolev supercritical Schrödinger equation with potential where , , , , is an unknown parameter which will appear as a Lagrange multiplier, is a mass subcritical and Sobolev subcritical nonlinearity. Under fairly general assumptions about and a global condition about , with the aid of the cutoff technique and Moser iteration, we obtain the multiplicity of normalized solutions about the above equation. Our main contribution is related to the fact that we are able to deal with the case .

Fields of Study & Subjects

Nonlinear Partial Differential Equations Advanced Mathematical Physics Problems Differential Equations and Boundary Problems

Publication details

Journal / source
Mathematical Methods in the Applied Sciences
Publisher
Wiley
Volume
49
Issue
8
Pages
8275–8287
Publication date
13 January 2026
Language
EN