TY - JOUR
T1 - Hopf's lemma for a class of singular/degenerate PDE-S
AU - Mikayelyan, Hayk
AU - Shahgholian, Henrik
PY - 2015
Y1 - 2015
N2 - 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.
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 - http://www.scopus.com/inward/record.url?scp=84921951899&partnerID=8YFLogxK
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 -