\(C^{m}\)-subharmonic extension of Runge type from closed to open subsets of \(\mathbb R^{N}\)

DOI10.1134/S0081543812080147zbMath1298.31008OpenAlexW2027210994MaRDI QIDQ461052

Paul M. Gauthier, Peter V. Paramonov, André Boivin

Publication date: 9 October 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543812080147

zbMATH Keywords

\(C^m\)-harmonic approximation\(C^m\)-subharmonic extensdion

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

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The Life and Work of André Boivin ⋮ Approximation by Solutions of Elliptic Equations and Extension of Subharmonic Functions

Cites Work

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• On \(C^{m}\)-extension of subharmonic functions from Lyapunov-Dini domains to \(\mathbb{R}^{N}\)
• \(C^ m\) approximation by solutions of elliptic equations, and Calderón-Zygmund operators
• Superharmonic extension and harmonic approximation
• Subharmonic Extensions and Approximations
• Approximation on Closed Sets by Analytic or Meromorphic Solutions of Elliptic Equations and Applications
• $ C^m$-extension of subharmonic functions
• Inequalities for the Green Function and Boundary Continuity of the Gradient of Solutions of Elliptic Differential Equations.

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