Failure of Fatou type theorems for solutions to PDE of $p$-Laplace type in domains with flat boundaries

Murat Akman, John Lewis, Andrew Vogel

Let ${\mathbb{R}}^n$ denote Euclidean $n$ space and given $k$ a positive integer let ${\Lambda }_k\subset {\mathbb{R}}^n$, $1\le k<n-1,n\ge 3,$ be a $k$-dimensional plane…