Boundary behavior of monotone Sobolev functions on John domains in a metric space

DOI10.1080/02781070500140532zbMath1074.31005OpenAlexW2071682212MaRDI QIDQ5460595

Yoshihiro Mizuta, Toshihide Futamura

Publication date: 18 July 2005

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02781070500140532

zbMATH Keywords

Poincaré inequalitypolyharmonic functionsboundary limitsmonotone Sobolev functions

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Boundary behavior of harmonic functions in higher dimensions (31B25)

Related Items (8)

Boundary behavior of monotone Sobolev functions in Orlicz spaces on John domains in a metric space ⋮ On the boundary limits of monotone Sobolev functions in variable exponent Orlicz spaces ⋮ Boundary limits of monotone Sobolev functions for double phase functionals ⋮ Lindelöf theorems for monotone Sobolev functions in Orlicz spaces ⋮ Lindelöf theorems for monotone Sobolev functions with variable exponent ⋮ Boundary limits of monotone Sobolev functions with variable exponent on uniform domains in a metric space ⋮ Boundary limits of monotone Sobolev functions on metric spaces ⋮ Boundary growth of Sobolev functions of monotone type for double phase functionals

Cites Work

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• On the existence of weighted boundary limits of harmonic functions
• Uniform domains
• On the boundary limits of harmonic functions
• Conformal geometry and quasiregular mappings
• Sobolev met Poincaré
• Boundary limits of polyharmonic functions in sobolev-orlicz spaces

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