×

zbMATH — the first resource for mathematics

On the rectifiability of domains with finite perimeter. (English) Zbl 0362.49031

MSC:
49Q15 Geometric measure and integration theory, integral and normal currents in optimization
35J20 Variational methods for second-order elliptic equations
35A15 Variational methods applied to PDEs
PDF BibTeX XML Cite
Full Text: Numdam EuDML
References:
[1] R. Caccioppoli , Misura e iutegrazione sugli insiemi dimensionalmente orientati , Rend. Accad. Lincei, Cl. Sc. fis. mat. nat. , Serie VIII , 12 , fasc 1 , 2 (gen.-feb. 1952 ), pp. 3 - 11 , 137 - 146 . MR 47118 | Zbl 0048.03704 · Zbl 0048.03704
[2] L.A. Caffarelli - N.M. Rivi√®re , Smoothness and analyticity of free boundaries in variational inequalities , Ann. Scuola Norm. Sup. Pisa , serie IV , 3 , pp. 289 - 310 . Numdam | MR 412940 | Zbl 0363.35009 · Zbl 0363.35009 · numdam:ASNSP_1976_4_3_2_289_0 · eudml:83720
[3] E. De Giorgi , Su una teoria generale della misura (r - 1)-dimensionale in uno spazio ad r dimensioni , Annali di Matematica pura ed applicata , Serie IV , 36 ( 1954 ), pp. 191 - 213 . MR 62214 | Zbl 0055.28504 · Zbl 0055.28504 · doi:10.1007/BF02412838
[4] E. De Giorgi , Nuovi teoremi relativi alle misure (r - 1)-dimensionale in uno spazio ad r dimensionali , Ricerche di Matematica , 4 ( 1955 ), pp. 95 - 113 . MR 74499 | Zbl 0066.29903 · Zbl 0066.29903
[5] D. Kinderlehrer , How a minimal surface leaves an obstacle , Acta mathematica , 130 ( 1973 ), pp. 221 - 242 . MR 419997 | Zbl 0268.49050 · Zbl 0268.49050 · doi:10.1007/BF02392266
[6] H. Lewy , On minimal surfaces with partly free boundary , Comm. Pure Appl. Math. , 4 ( 1951 ), pp. 1 - 13 . MR 52711 · Zbl 0042.15702
[7] H. Lewy - G. Stampacchia , On the regularity of the solution to a variational inequality , Comm. Pure Appl. Math. , 22 ( 1969 ), pp. 153 - 188 . MR 247551 | Zbl 0167.11501 · Zbl 0167.11501 · doi:10.1002/cpa.3160220203
[8] A.I. Markushevich , Theory of a complex variable , Vol. III , Prentice-Hall ( 1967 ), Part I, Ch. 2. MR 215964 · Zbl 0148.05201
[9] A. Zygmund , Trigonometric Series , Cambridge ( 1959 ), vol. I , Ch. 7. Zbl 0085.05601 · Zbl 0085.05601
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.