A note on unique continuation for solutions of the ∞-mean value property

José G. Llorente

Research output: Contribution to journalArticleResearchpeer-review

4 Citations (Scopus)

Abstract

We consider continous functions in euclidean domains that are solutions of a nonlinear mean value property related to the infinity laplacian. It is proved that such functions must satisfy a restricted unique continuation principle in the sense that if they vanish on a ball, they must vanish on the whole domain.
Original languageEnglish
Pages (from-to)473-483
JournalAnnales Academiae Scientiarum Fennicae Mathematica
Volume39
DOIs
Publication statusPublished - 19 Feb 2014

Keywords

  • Infinity laplacian
  • Mean value property
  • Unique continuation

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