Open Access
December, 2022 Ground States of Nonlocal Fractional Schrödinger Equations with Potentials Well
Ye Xue, Yunlan Wei
Author Affiliations +
Taiwanese J. Math. 26(6): 1203-1217 (December, 2022). DOI: 10.11650/tjm/220602

Abstract

Inspired by Alves and Souto [2], we investigate the existence of nontrivial solutions to a class of fractional Schrödinger equations with potentials well. Taking the superlinear nonlinearities into consideration, we obtain the existence of nontrivial solutions by loosing monotonicity. Furthermore, a ground state solution is established.

Citation

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Ye Xue. Yunlan Wei. "Ground States of Nonlocal Fractional Schrödinger Equations with Potentials Well." Taiwanese J. Math. 26 (6) 1203 - 1217, December, 2022. https://doi.org/10.11650/tjm/220602

Information

Received: 30 March 2022; Revised: 12 June 2022; Accepted: 14 June 2022; Published: December, 2022
First available in Project Euclid: 19 June 2022

MathSciNet: MR4515700
zbMATH: 1503.35005
Digital Object Identifier: 10.11650/tjm/220602

Subjects:
Primary: 35A15 , 35J60 , 35R11

Keywords: fractional Schrödinger equation , linking theorem , variational methods

Rights: Copyright © 2022 The Mathematical Society of the Republic of China

Vol.26 • No. 6 • December, 2022
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