Asymptotics of solutions to some boundary value problems of elasticity for bodies with cuspidal edges.
Chkadua, Otar, Duduchava, Roland (1998)
Memoirs on Differential Equations and Mathematical Physics
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Chkadua, Otar, Duduchava, Roland (1998)
Memoirs on Differential Equations and Mathematical Physics
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Jentsch, Lothar, Natroshvili, David (1999)
Memoirs on Differential Equations and Mathematical Physics
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David G. Larman (2009)
Banach Center Publications
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The connectivity and measure theoretic properties of the skeleta of convex bodies in Euclidean space are discussed, together with some long standing problems and recent results.
Makeev, V.V. (2005)
Journal of Mathematical Sciences (New York)
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Makeev, V.V. (2005)
Journal of Mathematical Sciences (New York)
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Fradelizi, Matthieu (1999)
Beiträge zur Algebra und Geometrie
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Lindquist, Norman F. (1975)
Portugaliae mathematica
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Brehm, Ulrich, Voigt, Jürgen (2000)
Beiträge zur Algebra und Geometrie
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Khomasuridze, I. (1999)
Bulletin of TICMI
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Groemer, H. (1993)
Beiträge zur Algebra und Geometrie
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Hausel, T., Makai, E., Szücs, A. (1997)
General Mathematics
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Weißbach, Benulf (1996)
Beiträge zur Algebra und Geometrie
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Boltyanski, V., Martini, H. (1999)
Beiträge zur Algebra und Geometrie
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Paul Goodey (2009)
Banach Center Publications
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We survey results concerning the extent to which information about a convex body's projections or sections determine that body. We will see that, if the body is known to be centrally symmetric, then it is determined by the size of its projections. However, without the symmetry condition, knowledge of the average shape of projections or sections often determines the body. Rather surprisingly, the dimension of the projections or sections plays a key role and exceptional cases do occur...