A note on the existence of a ground state solution to a fractional Schrödinger equation

Yonggeun Cho; Tohru Ozawa

doi:10.2206/kyushujm.67.227

A note on the existence of a ground state solution to a fractional Schrödinger equation

Yonggeun Cho
, Tohru Ozawa

Department of Mathematics

Waseda University

Research output: Contribution to journal › Journal article › peer-review

3 Scopus citations

Abstract

In this paper we show the existence of a non-trivial solution to a fractional Schrödinger equation, which turns out to be a global minimizer of a variational problem. We give a sharp condition for the existence of global minimizers. To do this we develop a new compactification scheme of angularly regular solutions.

Original language	English
Pages (from-to)	227-236
Number of pages	10
Journal	Kyushu Journal of Mathematics
Volume	67
Issue number	1
DOIs	https://doi.org/10.2206/kyushujm.67.227
State	Published - 2013.07.25

Keywords

Angular regularity
Fractional Schrödinger equation
Global minimizer
Ground state solution

Quacquarelli Symonds(QS) Subject Topics

Mathematics

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10.2206/kyushujm.67.227

Cite this

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title = "A note on the existence of a ground state solution to a fractional Schr{\"o}dinger equation",

abstract = "In this paper we show the existence of a non-trivial solution to a fractional Schr{\"o}dinger equation, which turns out to be a global minimizer of a variational problem. We give a sharp condition for the existence of global minimizers. To do this we develop a new compactification scheme of angularly regular solutions.",

keywords = "Angular regularity, Fractional Schr{\"o}dinger equation, Global minimizer, Ground state solution",

author = "Yonggeun Cho and Tohru Ozawa",

year = "2013",

month = jul,

day = "25",

doi = "10.2206/kyushujm.67.227",

language = "English",

volume = "67",

pages = "227--236",

journal = "Kyushu Journal of Mathematics",

issn = "1340-6116",

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T1 - A note on the existence of a ground state solution to a fractional Schrödinger equation

AU - Cho, Yonggeun

AU - Ozawa, Tohru

PY - 2013/7/25

Y1 - 2013/7/25

N2 - In this paper we show the existence of a non-trivial solution to a fractional Schrödinger equation, which turns out to be a global minimizer of a variational problem. We give a sharp condition for the existence of global minimizers. To do this we develop a new compactification scheme of angularly regular solutions.

AB - In this paper we show the existence of a non-trivial solution to a fractional Schrödinger equation, which turns out to be a global minimizer of a variational problem. We give a sharp condition for the existence of global minimizers. To do this we develop a new compactification scheme of angularly regular solutions.

KW - Angular regularity

KW - Fractional Schrödinger equation

KW - Global minimizer

KW - Ground state solution

UR - https://www.scopus.com/pages/publications/84880852192

U2 - 10.2206/kyushujm.67.227

DO - 10.2206/kyushujm.67.227

M3 - Journal article

AN - SCOPUS:84880852192

SN - 1340-6116

VL - 67

SP - 227

EP - 236

JO - Kyushu Journal of Mathematics

JF - Kyushu Journal of Mathematics

IS - 1

ER -

A note on the existence of a ground state solution to a fractional Schrödinger equation

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

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