Some boundary Harnack principles with uniform constants
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Tarih
2022-10
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Science and Business Media B.V.
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We prove two versions of a boundary Harnack principle in which the constants do not depend on the domain by using probabilistic methods.
Açıklama
The first named author, Martin T. Barlow, was partially supported by NSERC (Canada). The second named author, Deniz Karli, was partially supported by NSERC (Canada) and partially by the BAP grant, numbered 20A101, at the Isik University, Istanbul, Turkey. We thank our referees for their comments, and in particular one referee for suggesting a considerable simplification of our proof of Theorem 2. We also thank Pinar KarliAkgun for drawing the figures in this manuscript.
Research partially supported by NSERC (Canada) and BAP 20A101 Grant of Işık University (Turkey).
Research partially supported by NSERC (Canada) and BAP 20A101 Grant of Işık University (Turkey).
Anahtar Kelimeler
Boundary Harnack principle, Brownian motion, Harmonic functions, Harnack inequality
Kaynak
Potential Analysis
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
57
Sayı
3
Künye
Barlow, Martin T. & Karlı, D. (2021). Some boundary Harnack principles with uniform constants. Potential Analysis, 57(3), 433-446. doi:10.1007/s11118-021-09922-3
