MONOTONICITY OF STANDING WAVES FOR THE GENERALIZED FRACTIONAL SCHRÖDINGER EQUATIONS

Yajie Zhang; Feiyao Ma; Weifeng Wo

doi:10.1216/jie.2023.35.375

Abstract

We investigate the standing waves of fractional Schrödinger equations. Using the method of moving planes, we first prove a monotonicity of standing waves without any decay conditions at infinity. Based on the monotonicity, we obtain the nonexistence result of standing waves on the whole space.

Citation

Download Citation

Yajie Zhang. Feiyao Ma. Weifeng Wo. "MONOTONICITY OF STANDING WAVES FOR THE GENERALIZED FRACTIONAL SCHRÖDINGER EQUATIONS." J. Integral Equations Applications 35 (3) 375 - 383, Fall 2023. https://doi.org/10.1216/jie.2023.35.375

Information

Received: 12 January 2021; Revised: 15 December 2021; Accepted: 23 December 2021; Published: Fall 2023

First available in Project Euclid: 25 October 2023

Digital Object Identifier: 10.1216/jie.2023.35.375

Subjects:

Primary: 35R11

Secondary: 35A09 , 35B06

Keywords: fractional Schrödinger equation , method of moving planes , monotonicity and nonexistence , standing waves

Abstract

Citation

Information

KEYWORDS/PHRASES

PUBLICATION TITLE:

PUBLICATION YEARS