A note on fractional supersolutions

Research output: Contribution to journalArticleScientificpeer-review

Researchers

  • Janne Korvenpää
  • Tuomo Kuusi
  • Giampiero Palatucci

Research units

  • University of Parma

Abstract

We study a class of equations driven by nonlocal, possibly degenerate, integro-differential operators of differentiability order s ϵ (0,1) and summability growth p > 1, whose model is the fractional p-Laplacian with measurable coefficients. We prove that the minimum of the corresponding weak supersolutions is a weak supersolution as well.

Details

Original languageEnglish
Pages (from-to)1-9
JournalELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
Volume2016
Issue number263
Publication statusPublished - 28 Sep 2016
MoE publication typeA1 Journal article-refereed

    Research areas

  • Fractional Laplacian, Fractional Sobolev spaces, Fractional superharmonic functions, Nonlocal tail, Quasilinear nonlocal operators

ID: 12913759