@book{MSMF_2000_2_82__R1_0,
author = {Rigot, S\'everine},
title = {Ensembles quasi-minimaux avec contrainte de volume et rectifiabilit\'e uniforme},
series = {M\'emoires de la Soci\'et\'e Math\'ematique de France},
year = {2000},
publisher = {Soci\'et\'e math\'ematique de France},
number = {82},
doi = {10.24033/msmf.395},
mrnumber = {2002j:49053},
zbl = {0983.49025},
language = {fr},
url = {https://www.numdam.org/item/MSMF_2000_2_82__R1_0/}
}
TY - BOOK AU - Rigot, Séverine TI - Ensembles quasi-minimaux avec contrainte de volume et rectifiabilité uniforme T3 - Mémoires de la Société Mathématique de France PY - 2000 IS - 82 PB - Société mathématique de France UR - https://www.numdam.org/item/MSMF_2000_2_82__R1_0/ DO - 10.24033/msmf.395 LA - fr ID - MSMF_2000_2_82__R1_0 ER -
%0 Book %A Rigot, Séverine %T Ensembles quasi-minimaux avec contrainte de volume et rectifiabilité uniforme %S Mémoires de la Société Mathématique de France %D 2000 %N 82 %I Société mathématique de France %U https://www.numdam.org/item/MSMF_2000_2_82__R1_0/ %R 10.24033/msmf.395 %G fr %F MSMF_2000_2_82__R1_0
Rigot, Séverine. Ensembles quasi-minimaux avec contrainte de volume et rectifiabilité uniforme. Mémoires de la Société Mathématique de France, Nouvelle série, no. 82 (2000), 110 p. doi: 10.24033/msmf.395
[Alm76] - "Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints", Mem. Amer. Math. Soc. 4 (1976), no. 165. | Zbl | MR
[AP99] & - "Partial regularity for quasi minimizers of perimeter", Ricerche Mat. 48 (1999), p. 167-186. | Zbl | MR
[DG61] - "Frontiere orientale di misura minima", Sem. Mat. Scuola Norm. Sup. Pisa, 1960-1961.
[DMS92] , & - "A variational method in image segmentation : existence and approximation results", Acta Math. 168 (1992), no. 1-2, p. 89-151. | Zbl | MR
[DS91] & - "Singular integrals and rectifiable sets in ℝn : Beyond Lipschitz Graphs", Astérisque (1991), no. 193. | Zbl | MR | Numdam
[DS93a] & - Analysis of and on uniformly rectifiable sets, Math. Surveys Monogr., vol. 38, Amer. Math. Soc., Providence, 1993. | Zbl | MR
[DS93b] & - "Quantitative rectifiability and Lipschitz mappings", Trans. Amer. Math. Soc. 337 (1993), no. 2, p. 855-889. | Zbl | MR
[DS96a] & - "On the singular sets of minimizers of the Mumford-Shah functional", J. Math. Pures Appl. (9) 75 (1996), no. 4, p. 299-342. | Zbl | MR
[DS96b] & - "Uniform rectifiability and singular sets", Ann. Inst. H. Poincaré Anal. Non Linéaire 13 (1996), no. 4, p. 383-443. | Zbl | MR | Numdam
[DS98] & , "Quasiminimal surfaces of codimension 1 and John domains", Pacific J. Math. 183 (1998), no. 2, p. 213-277. | Zbl | MR
[DS00] & , "Uniform rectifiability and quasiminimizing sets of arbitrary codimension", Mem. Amer. Math. Soc. 144 (2000), no. 687. | Zbl | MR
[EG92] & - Measure theory and fine properties of functions, CRC Press, 1992. | Zbl | MR
[Fed69] - Geometric measure theory, Springer-Verlag, Berlin, 1969. | Zbl | MR
[Fed70] , "The singular sets of area minimizing rectifiable currents with codimension one and of area minimizing flat chains modulo two with arbitrary codimension", Bull. Amer. Math. Soc. 76 (1970), p. 767-771. | Zbl | MR
[Giu81] - "The equilibrium configuration of liquid drops", J. Reine Angew. Math. 321 (1981), p. 53-63. | Zbl | MR
[Giu84] , Minimal surfaces and functions of bounded variation, Birkhäuser, Basel-Boston, 1984. | Zbl | MR
[GMT83] , & - "On the regularity of boundaries of sets minimizing perimeter with a volume constraint", Indiana Univ. Math. J. 32 (1983), no. 1, p. 25-37. | Zbl | MR
[Mas74] - "Esistenza e regolarità delle ipersuperfice di curvatura media assegnata in ℝn", Arch. Rational Mech. Anal 55 (1974), p. 357-382. | Zbl | MR
[Mas75] , "Frontiere orientale di curvatura media assegnata in Lp", Rend. Sem. Mat. Univ. Padova 53 (1975), p. 37-52. | Zbl | MR | Numdam
[Mat95] - Geometry of sets and measures in Euclidean spaces, Cambridge University Press, Cambridge, 1995. | Zbl | MR
[Mir65] - "Sul minimo dell'integrale del gradiente di una funzione", Ann. Scuola Norm. Sup. Pisa (3) 19 (1965), p. 626-665. | Zbl | MR | Numdam
[MM84] & - Minimal surfaces of codimension 1, North Holland, Amsterdam-New York, 1984. | Zbl | MR
[Ott98] - "Dynamics of labyrinthine pattern formation in magnetic fluids : a mean-field theory", Arch. Rational Mech. Anal. 141 (1998), no. 1, p. 63-103. | Zbl | MR
[Rig00] - "Uniform partial regularity of quasi minimizers for the perimeter", Cal. Var. Partial Differential Equations 10 (2000), no. 4, p. 389-406. | Zbl | MR
[Sim83] - Lectures on Geometric Measure Theory, Proc. C.M.A., 1983. | Zbl | MR
[Sol97] - "Simplified excision techniques for free discontinuity problems in several variables", J. Funct. Anal. 151 (1997), no. 1, p. 1-34. | Zbl | MR
[Tam82] - "Boundaries of Caccioppoli sets with Hölder continuous normal vector", J. Reine Angew. Math. 334 (1982), p. 27-39. | Zbl | MR
[Tam84] , Regularity results for almost minimal oriented hypersurfaces in ℝn, Quaderni Del Dipartimento Di Matematica Dell' Universita' Di Lecce, 1984.
[Zie89] - Weakly differentiable functions, Springer-Verlag, Berlin, 1989. | Zbl | MR
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