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

Yonggeun Cho, Tohru Ozawa

Research output: Contribution to journalArticle

2 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 languageEnglish
Pages (from-to)227-236
Number of pages10
JournalKyushu Journal of Mathematics
Volume67
Issue number1
DOIs
Publication statusPublished - 2013 Jul 25

Keywords

  • Angular regularity
  • Fractional Schrödinger equation
  • Global minimizer
  • Ground state solution

ASJC Scopus subject areas

  • Mathematics(all)

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