Representation of a p-harmonic function near a critical point in the plane

DOI10.1007/BF02568483zbMath0702.35049MaRDI QIDQ914955

Gunnar Aronsson

Publication date: 1989

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155460

zbMATH Keywords

representation theoremhodograph transformationcritical pointsstream functionsanalyticp-harmonic functionexact Hölder exponent

Mathematics Subject Classification ID

Related Items (8)

On a linearized \(p\)-Laplace equation with rapidly oscillating coefficients ⋮ On Hele–Shaw flow of power-law fluids ⋮ Brief Survey on Functions of Bounded Variation (BV) in Metric Setting ⋮ Thoughts on the Busemann equation ⋮ On complex-valued solutions to a 2D Eikonal equation. Part three: analysis of a Bäcklund transformation ⋮ Remark on solvability of \(p\)-Laplacian equations in large dimension ⋮ On p-harmonic functions, convex duality and an asymptotic formula for injection mould filling ⋮ On \(p\)-harmonic mappings in the plane

Cites Work

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• On p-harmonic functions in the plane and their stream functions
• On certain p-harmonic functions in the plane
• Résolution numérique de quelques problèmes raides en mécanique des milieux faiblement compressibles
• Capacitary functions in convex rings
• Gap series constructions for the \(p\)-Laplacian
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• p-Harmonic Functions in the Plane

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