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

Hayk Mikayelyan; Henrik Shahgholian

doi:10.5186/aasfm.2015.4033

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

Hayk Mikayelyan, Henrik Shahgholian

Research output: Journal Publication › Article › peer-review

10 Citations (Scopus)

Abstract

This paper concerns Hopf's boundary point lemma, in certain C^{1, 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 language	English
Pages (from-to)	475-484
Number of pages	10
Journal	Annales Academiae Scientiarum Fennicae Mathematica
Volume	40
Issue number	1
DOIs	https://doi.org/10.5186/aasfm.2015.4033
Publication status	Published - 2015
Externally published	Yes

Keywords

Partial differential equations
Regularity

ASJC Scopus subject areas

General Mathematics

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10.5186/aasfm.2015.4033

Cite this

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AB - 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.

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KW - Regularity

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

Abstract

Keywords

ASJC Scopus subject areas

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