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

### 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