References
[AA] Almgren, F.J., Allard, W.K.: On the radial behaviour of minimal surfaces and the uniqueness of their tangent cones. Ann. Math.113, 215–265 (1981)
[BDG] Bombieri, E., De Giorgi, E., Giusti, E.: Minimal cones and the Bernstein problem. Invent. Math.7, 243–268 (1969)
[BGM] Berger, M., Gauduchon, P., Mazet, E.: Le Spectre d'une Variété Riemanniene. Lect. Notes Math.194 (1971)
[FH] Federer, H.: Geometric Measure Theory. Berlin Heidelberg New York: Springer 1969
[FW] Fleming, W.: On the oriented Plateau problem. Rend. Circ. Mat. Palermo (2),11, 69–90 (1962)
[GT] Gilbarg, D., Trudinger, N.S.: Elliptic Partial Differential Equations of Second Order. Berlin Heidelberg New York: Springer 1977
[HS] Hardt, R., Simon, L: Area-minimizing hypersurfaces with isolated singularities (to appear in Crelle's Journal)
[L] Lawson, H.B.: The equivariant Plateau problem and interior regularity. Trans. Am. Math. Soc.173, 231–249 (1973)
[LF] Lin, F.-H.: Minimality and stability of minimal hypersurfaces in ℝn (preprint, Univ. of Minnesota)
[PT] Peng, C.K., Terng, C.-L.: Minimal hypersurfaces of spheres with constant scalar curvature, Seminar on Minimal Submanifolds. Ann. Math. Stud.103, in: Bombieri, E. (ed.) Princeton NJ: Princeton University Press, 1983
[SL1] Simon, L.: Lectures on Geometric Measure Theory. Proceedings of the Centre for Mathematical Analysis. Vol. 3, Australian National University, Canberra, 1983
[SL2] Simon, L.: Isolated singularities of extrema of geometric variational problems (preprint, Centre for Mathematical Analysis, Canberra, Australia, 1984)
[SP] Simoes, P.: On a class of minimal cones in ℝn. Bull. Am. Math. Soc.80, 488–489 (1974)
[SW] Solomon, B., White, B.: A maximum, principle for stationary hypersurfaces (in preparation)
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Simon, L., Solomon, B. Minimal hypersurfaces asymptotic to quadratic cones in ℝn+1 . Invent Math 86, 535–551 (1986). https://doi.org/10.1007/BF01389267
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DOI: https://doi.org/10.1007/BF01389267