Properties of extremal functions for \(p\)-capacity in \(R^2\)

DOI10.33048/semi.2021.18.064zbMath1475.31006OpenAlexW3200540886MaRDI QIDQ2047161

Romanov Alexandr Romanov

Publication date: 19 August 2021

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

Full work available at URL: https://doi.org/10.33048/semi.2021.18.064

zbMATH Keywords

Sobolev spacescapacityextremal functions

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Potentials and capacities on other spaces (31C15)

Cites Work

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• Extremal length and functional completion
• Regularity of \(p\)-harmonic functions on the plane
• Extremal length and p-capacity
• The concept of capacity in the theory of functions with generalized derivatives
• Sard's theorem for mappings in Hölder and Sobolev spaces
• p-Harmonic Functions in the Plane
• Extremal Length and Conformal Capacity
• NON-LINEAR POTENTIAL THEORY

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