A Rado type theorem for p-harmonic functions in the plane
Date
1994-12-06
Authors
Kilpelainen, Tero
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We show that if u ∈ C1(Ω) satisfies the p-Laplace equation div(|∇u|p−2∇u) = 0 in Ω \ {x : u(x) = 0}, then u is a solution to the p-Laplacian in the whole Ω ⊂ ℝ2.
Description
Keywords
p-harmonic functions, p-Laplacian, Removable sets
Citation
Kilpelainen, T. (1994). A Rado type theorem for p-harmonic functions in the plane. <i>Electronic Journal of Differential Equations, 1994</i>(09), pp. 1-4.
Rights
Attribution 4.0 International