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

School of Advanced Science and Engineering

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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
Publication status	Published - 2013 Jul 25

Keywords

Angular regularity
Fractional Schrödinger equation
Global minimizer
Ground state solution

ASJC Scopus subject areas

Mathematics(all)

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10.2206/kyushujm.67.227

Cite this

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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.",

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

Abstract

Keywords

ASJC Scopus subject areas

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