Title: A Relaxed Kačanov Iteration for the $p$-Poisson Problem,
Abstract: In this paper, we introduce an iterative linearization scheme that allows to
approximate the weak solution of the $p$-Poisson problem
\begin{align*}
-\operatorname{div}(|\nabla u|^{p-2}\nabla u) &= f\quad\text{in }\Omega,
u&= 0\quad\text{on}\partial\Omega
\end{align*} for $1 < p \leq 2$. The algorithm can be interpreted as a
relaxed Kačanov iteration. We prove that the algorithm converges at least
with an algebraic rate.