A uniqueness result for functions with zero fine gradient on quasiconnected and finely connected sets

DOI10.2422/2036-2145.201802_014zbMath1472.31013arXiv1802.06031OpenAlexW3104544098MaRDI QIDQ5003255

Jana Björn, Anders Björn

Publication date: 21 July 2021

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.06031

zbMATH Keywords

fine gradientquasi connected sets

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fine potential theory; fine properties of sets and functions (31C40) Other generalizations (nonlinear potential theory, etc.) (31C45) Potential theory on fractals and metric spaces (31E05) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)

Related Items (1)

The Dirichlet problem for \(p\)-minimizers on finely open sets in metric spaces

Cites Work

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