A Rado type theorem for p-harmonic functions in the plane
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.
Citation
Kilpelainen, T. (1994). A Rado type theorem for p-harmonic functions in the plane. Electronic Journal of Differential Equations, 1994(09), pp. 1-4.Rights License

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