Instability of Type (II) Lawson–Osserman cones
摘要
We prove instability of Type (II) Lawson–Osserman cones in Euclidean spaces, and thus provide a family of (uncountably many) non-smooth unstable minimal graphs of high codimension versus smooth unstable ones by Lawson–Osserman using a min–max technique. To our knowledge, these are the first examples of non-smooth unstable minimal graphs .