On the non-existence of energy stable minimal cones

Bombieri, 1969, Minimal Cones and the Bernstein Problem, Invent. Math., Vol. 7, 243, 10.1007/BF01404309 Dierkes, 1988, Minimal Hypercones and C0, 1/2-Minimizers for a Singular Variational Problem, Indiana Univ. Math. J., Vol. 37, 10.1512/iumj.1988.37.37040 Dierkes, 1989, A Classification of Minimal Cones in ℝn × ℝ+ and a Counter-Example to Interior Regularity of Energy Minimizing Functions, Manuscripta Math., Vol. 63, 173, 10.1007/BF01168870 Federer, 1969 Schoen, 1975, Curvature Estimates for Minimal Hypersurfaces, Acta Math., Vol. 134, 276, 10.1007/BF02392104 Simon, 1983, Lectures on Geometric Measure Theory, Proc. of the Centre for Math. Analysis, Vol. 3 Simons, 1968, Minimal Varieties in Riemannian Manifolds, Ann. Math., Vol. 88, 62, 10.2307/1970556