Kilpeläinen, Tero

A Radó type theorem for $p$-harmonic functions in the plane

Electron. J. Differ. Equ. 1994(9), 1 (1994)

Summary

Summary: We show that if $$ {\rm div}(|\nabla u|^{p-2}\nabla u)=0 $$ in $\Omega\setminus \{x\ :u(x)=0\}$, then u is a solution to the p-Laplacian in the whole $\Omega\subset R^2$.

Mathematics Subject Classification

35J60, 35B60, 31C45, 30C62

Keywords/Phrases

p-harmonic functions, p-Laplacian, removable sets

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