Hopf's lemma for a class of singular/degenerate PDE-S

Hayk Mikayelyan, Henrik Shahgholian

Research output: Journal PublicationArticlepeer-review

5 Citations (Scopus)

Abstract

This paper concerns Hopf's boundary point lemma, in certain C1, Dini-type domains, for a class of singular/degenerate PDE-s, including p-Laplacian. Using geometric properties of levels sets for harmonic functions in convex rings, we construct sub-solutions to our equations that play the role of a barrier from below. By comparison principle we then conclude Hopf's lemma.

Original languageEnglish
Pages (from-to)475-484
Number of pages10
JournalAnnales Academiae Scientiarum Fennicae Mathematica
Volume40
Issue number1
DOIs
Publication statusPublished - 2015
Externally publishedYes

Keywords

  • Partial differential equations
  • Regularity

ASJC Scopus subject areas

  • Mathematics (all)

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