Pasting lemmas and characterizations of boundary regularity for quasiminimizers

DOI10.1007/s00025-009-0437-2zbMath1192.31001OpenAlexW2017607705WikidataQ124810505 ScholiaQ124810505MaRDI QIDQ844012

Anders Björn, Olli Martio

Publication date: 18 January 2010

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-009-0437-2

zbMATH Keywords

superharmonic functionboundary regularity\(p\)-harmonic functionquasiharmonic function

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Boundary behavior of harmonic functions in higher dimensions (31B25) Other generalizations (nonlinear potential theory, etc.) (31C45)

Related Items (7)

Sharp exponents and a Wiener type condition for boundary regularity of quasiminimizers ⋮ Sphericalization and \(p\)-harmonic functions on unbounded domains in Ahlfors regular spaces ⋮ BMO, integrability, Harnack and Caccioppoli inequalities for quasiminimizers ⋮ Cluster sets for Sobolev functions and quasiminimizers ⋮ \(p\)-harmonic functions with boundary data having jump discontinuities and Baernstein's problem ⋮ Nonlinear balayage on metric spaces ⋮ Minima of quasisuperminimizers

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