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Resultats globals: 5 registres trobats en 0.02 segons.
Articles, 5 registres trobats
Articles 5 registres trobats  
1.
116 p, 922.6 KB A monotonicity formula for minimal sets with a sliding boundary condition / David, Guy (Université Paris-Sud)
We prove a monotonicity formula for minimal or almost minimal sets for the Hausdorff measure Hd, subject to a sliding boundary constraint where competitors for E are obtained by deforming E by a one-parameter family of functions yt such that yt(x) ∈ L when x ∈ E lies on the boundary L. [...]
2016 - 10.5565/PUBLMAT_60216_04
Publicacions matemàtiques, Vol. 60 Núm. 2 (2016) , p. 335-450 (Articles)  
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2.
13 p, 367.2 KB Harmonic analysis and the geometry of subsets of RN / David, Guy ; Semmes, Stephen
1991 - 10.5565/PUBLMAT_35191_10
Publicacions matemàtiques, V. 35 n. 1 (1991) p. 237-249  
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3.
40 p, 280.7 KB Hausdorff dimension of uniformly non flat sets with topology / David, Guy
Let d be an integer, and let E be a nonempty closed subset of Rn. Assume that E is locally uniformly non flat, in the sense that for x ∈ E and r > 0 small, E∩B(x, r) never stays ε0r-close to an affine d-plane. [...]
2004 - 10.5565/PUBLMAT_48104_09
Publicacions matemàtiques, V. 48 N. 1 (2004) , p. 187-225  
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4.
49 p, 306.8 KB Regular mappings between dimensions / David, Guy ; Semmes, Stephen
The notions of Lipschitz and bilipschitz mappings provide classes of mappings connected to the geometry of metric spaces in certain ways. A notion between these two is given by "regular mappings" (reviewed in Section 1), in which some non-bilipschitz behavior is allowed, but with limitations on this, and in a quantitative way. [...]
2000 - 10.5565/PUBLMAT_44200_02
Publicacions matemàtiques, V. 44 N. 2 (2000) , p. 369-417  
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5.
23 p, 182.6 KB Analytic capacity, Calderón-Zygmund operators, and rectifiability / David, Guy
For K ⊂ C compact, we say that K has vanishing analytic capacity (or γ(K) = 0) when all bounded analytic functions on C\K are constant. We would like to characterize γ(K) = 0 geometrically. Easily, γ(K) > 0 when K has Hausdorff dimension larger than 1, and γ(K) = 0 when dim(K) < 1. [...]
1999 - 10.5565/PUBLMAT_43199_01
Publicacions matemàtiques, V. 43 N. 1 (1999) , p. 3-25  
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