Mappings related to extremal functions for \(p\)-capacity

DOI10.33048/semi.2019.16.090zbMath1431.30024OpenAlexW3015791664MaRDI QIDQ2334767

Aleksandr Sergeevich Romanov

Publication date: 7 November 2019

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2019.16.090

zbMATH Keywords

Sobolev spacescapacityextremal functions

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Cites Work

• Extremal length and functional completion
• A remark on the properties of nonlinear capacity in \(\mathbb{R}^3\)
• Regularity of \(p\)-harmonic functions on the plane
• Extremal length and p-capacity
• Sard's theorem for mappings in Hölder and Sobolev spaces
• p-Harmonic Functions in the Plane
• Extremal Length and Conformal Capacity
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