The \(p\)-harmonic measure of small axially symmetric sets

DOI10.1007/s11118-017-9668-0zbMath1400.35146OpenAlexW2770055876MaRDI QIDQ1787164

Robert G. Smits, Dante de Blassie

Publication date: 4 October 2018

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-017-9668-0

zbMATH Keywords

convex cone\(p\)-harmonic measure\(p\)-subharmonic functions\(p\)-superharmoic functionssmall spherical caps

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items

On a theorem of Wolff revisited, Failure of Fatou type theorems for solutions to PDE of p-Laplace type in domains with flat boundaries, The behavior at infinity of \(p\)-harmonic measure in an infinite slab, Note on an eigenvalue problem with applications to a Minkowski type regularity problem in \(\mathbb{R}^n\), Note on an eigenvalue problem for an ODE originating from a homogeneous $p$-harmonic function, On \(p\)-harmonic measures in half-spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Phragmén-Lindelöf theorems and \(p\)-harmonic measures for sets near low-dimensional hyperplanes
• \(p\) harmonic measure in simply connected domains
• On certain singular solutions of the partial differential equation \(u^ 2_ xu_{xx}+2u_ xu_ yu_{xy}+u^ 2_ yu_{yy}=0\)
• Tug-of-war with noise: a game-theoretic view of the \(p\)-Laplacian
• Global estimates for non-symmetric Green type functions with applications to the \(p\)-Laplace equation
• Construction of singular solutions to the p-harmonic equation and its limit equation for \(p=\infty\)
• Note on \(p\)-harmonic measure
• Tug-of-war and the infinity Laplacian
• F-harmonic measure in space
• Decay of a p-harmonic measure in the plane
• Algorithm 810: The SLEIGN2 Sturm-Liouville Code