Wiener criterion on metric spaces: boundary regularity in axiomatic and Poincaré-Sobolev spaces

DOI10.1007/s11856-010-0079-9zbMath1205.49047OpenAlexW2026288108MaRDI QIDQ607855

Sergey A. Timoshin

Publication date: 6 December 2010

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-010-0079-9

zbMATH Keywords

Hölder continuityWiener-type criterionboundary regularityquasi-minimizers\(p\)-energy integral

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Variational methods for higher-order elliptic equations (35J35)

Related Items (1)

An axiomatic approach to gradients with applications to Dirichlet and obstacle problems beyond function spaces

Cites Work

• Boundary regularity for quasiminima
• A regularity condition at the boundary for solutions of quasilinear elliptic equations
• Quasiconformal maps in metric spaces with controlled geometry
• Axiomatic theory of Sobolev spaces
• Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
• Boundary continuity for quasiminimizers on metric spaces
• Capacities in metric spaces
• Sobolev spaces on an arbitrary metric space
• Local behavior of solutions of quasi-linear equations
• Sobolev met Poincaré
• Regularity of quasi-minimizers on metric spaces
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