Note on an eigenvalue problem with applications to a Minkowski type regularity problem in $\mathbb{R}$^n

Murat Akman, John Lewis, Andrew Vogel

We consider existence and uniqueness of homogeneous solutions $u>0$ to certain PDE of $p$-Laplace type, $p$ fixed, $n-1<p<\infty ,n\ge 2,$ when $u$ is a solution in…