On weak solutions to a fractional hardy-henon equation: Part i: nonexistence

Shoichi Hasegawa, Norihisa Ikoma, Tatsuki Kawakami

Research output: Contribution to journalArticlepeer-review

Abstract

This paper and [20] treat the existence and nonexistence of stable (resp. outside stable) weak solutions to a fractional Hardy-Henon equation (-Δ)su = jxj'jujp-1u in RN, where 0 < s < 1, ' > -2s, p > 1, N ≥ 1 and N > 2s. In this paper, the nonexistence part is proved for the Joseph-Lundgren subcritical case.

Original languageEnglish
Pages (from-to)1559-1600
Number of pages42
JournalCommunications on Pure and Applied Analysis
Volume20
Issue number4
DOIs
Publication statusPublished - 2021 Apr 1

Keywords

  • Fractional Hardy-Henon equation
  • Liouville type theorem
  • Stable (stable outside a compact set) solutions

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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