Lipschitz continuity of \(\alpha\)-harmonic functions

DOI10.14492/HOKMJ/1550480645zbMath1429.31005OpenAlexW2915893242MaRDI QIDQ2631786

Peijin Li, Xian Tao Wang

Publication date: 16 May 2019

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.hokmj/1550480645

zbMATH Keywords

Lipschitz continuity\(\alpha\)-harmonic function\(\alpha\)-harmonic equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Related Items (7)

Series representations for generalized harmonic functions in the case of three parameters ⋮ On Schwarz-Pick-type inequality and Lipschitz continuity for solutions to nonhomogeneous biharmonic equations ⋮ Lipschitz continuity for weighted harmonic functions in the unit disc ⋮ A series expansion for generalized harmonic functions ⋮ Some geometric properties of complex-valued kernel \(\alpha \)-harmonic mappings ⋮ Hölder continuity of generalized harmonic functions in the unit disc ⋮ Schwarz lemma for solutions of the \(\alpha\)-harmonic equation

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