A supercritical scalar field equation with a forcing term

Kazuhiro Ishige, Shinya Okabe, Tokushi Sato

Research output: Contribution to journalArticlepeer-review

Abstract

This paper is concerned with the elliptic problem for a scalar field equation with a forcing term (equation required) where N ≥ 2, p > 1, κ > 0 and μ is a Radon measure in RN with a compact support. Under a suitable integrability condition on μ, we give a complete classification of the solvability of problem (P) with 1 < p < pJL. Here pJL is the Joseph-Lundgren exponent defined by (equation required).

MSC Codes 35B09, 35J61, 35B32

Original languageEnglish
JournalUnknown Journal
Publication statusPublished - 2019 Feb 5

Keywords

  • Scalar field equation
  • Supercritical
  • The Joseph-Lundgren exponent

ASJC Scopus subject areas

  • General

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