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

School of Mathematics and Physics

KTH Royal Institute of Technology

Research output: Contribution to journal › 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

Keywords

Partial differential equations
Regularity

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10.5186/aasfm.2015.4033

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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.",

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AU - Mikayelyan, Hayk

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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.

KW - Partial differential equations

KW - Regularity

UR - https://www.scopus.com/pages/publications/84921951899

U2 - 10.5186/aasfm.2015.4033

DO - 10.5186/aasfm.2015.4033

M3 - Article

AN - SCOPUS:84921951899

SN - 1239-629X

VL - 40

SP - 475

EP - 484

JO - Annales Academiae Scientiarum Fennicae Mathematica

JF - Annales Academiae Scientiarum Fennicae Mathematica

IS - 1

ER -

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

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Keywords

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