@article{RSMUP_1991__85__217_0, author = {Tamanini, Italo and Congedo, Giuseppe}, title = {Density theorems for local minimizers of area-type functionals}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, volume = {86}, year = {1991}, pages = {217-248}, mrnumber = {1142542}, zbl = {0753.49019}, language = {en}, url = {http://dml.mathdoc.fr/item/RSMUP_1991__85__217_0} }
Tamanini, Italo; Congedo, Giuseppe. Density theorems for local minimizers of area-type functionals. Rendiconti del Seminario Matematico della Università di Padova, Tome 86 (1991) pp. 217-248. http://gdmltest.u-ga.fr/item/RSMUP_1991__85__217_0/
[1] Geometric measure theory and the calculus of variations, Proceed. Symposia Pure Math., Vol. 44, American Math. Society, Providence (1986). | MR 840266 | Zbl 0577.00014
- ,[2] Existence and regularity almost everywhere of solutions to elliptic variational problems with constraint, Mem. Amer. Math. Soc., 4, n. 165 (1976). | MR 420406 | Zbl 0327.49043
,[3] A compactness theorem for a special class of functions of bounded variation, Boll. U.M.I., 3-B (1989), pp. 857-888. | MR 1032614 | Zbl 0767.49001
,[4] Existence theory for a new class of variational problems, Arch. Rational Mech. Anal., 111, (1990), pp. 291-322 | MR 1068374 | Zbl 0711.49064
,[5] Funzioni a variazione limitata generalizzate, to appear.
- - ,[6] Penalty methods for minimal surfaces with obstacles, Ann. Mat. Pura Appl., 152 (1988), pp. 139-157. | MR 980976 | Zbl 0824.49035
- ,[7] Euler conditions for a minimum problem with free discontinuity surfaces, preprint Dip. Mat. Univ. Lecce (1988).
- - - ,[8] Note sulla regotarita dei minimi di funzionati del tipo dell'area, Rend. Acc. Naz. Sci. XL, Mem. Mat., 12 (1988), pp. 238-257.
- ,[9] GIORGI, Su una teoria generale della misura (r - 1)-dimensionale in uno spazio ad r dimensioni, Ann. Mat. Pura Appl., 36 (1954), pp. 191-213. | MR 62214 | Zbl 0055.28504
[10] Nuovi teoremi relativi alle misure (r -1)-dimensionali in uno spazio ad r dimensioni, Ricerche di Matematica, 4 (1955), pp. 95-113. | MR 74499 | Zbl 0066.29903
,[11] Sulla proprietà isoperimetrica dell'ipersfera, nella classe degli insiemi aventi frontiera orientata di misura finita, Atti Accad. Naz. Lincei (Serie VIII), 5 (1958), pp. 33-44. | MR 98331 | Zbl 0116.07901
,[12] GIORGI - I. AMBROSIO, Un nuovo tipo di funzionale del calcolo delle variazioni, Atti Accad. Naz. Lincei (8), 82 (1988), pp. 199-210. | MR 1152641 | Zbl 0715.49014
[13] GIORGI - M. CARRIERO - A. LEACI, Existence theoremfor a minimum problem withfree discontinuity set, Arch. Rational Mech. Anal., 108 (1989), pp. 195-218. | MR 1012174 | Zbl 0682.49002
[14] Frontiere orientate di misura minima e questioni collegate, Editrice Tecnico Scientifica, Pisa (1972). | MR 179651 | Zbl 0296.49031
- - ,[15] GIORGI - G. CONGEDO - I. TAMANINI, Problemi di regolarità per un nuovo tipo di funzionale del calcolo delle variazioni, Atti Accad. Naz. Lincei (8), 82 (1988), pp. 673-678. | MR 1139814 | Zbl 0735.49036
[16] Geometric Measure Theory, Springer-Verlag, Berlin-Heidelberg-New York (1969). | MR 257325 | Zbl 0176.00801
,[17] Minimal surfaces and functions of bounded variation, Boston -Basel-Stuttgart (1984). | MR 775682 | Zbl 0545.49018
,[18] Insiemi di perimetro finito su varietà, Boll. U.M.I. (6), 3-B (1984), pp. 149-169. | Zbl 0556.49023
,[19] Minimal Surfaces of Codimension One, North-Holland, Amsterdam (1984). | MR 795963 | Zbl 0565.49030
- ,[20] Sobolev Spaces, Springer-Verlag (1985). | MR 817985
,[21] Segmentation of images by variational methods: a constructive approach, Rev. Mat. Univ. Complutense Madrid, 1 (1988), pp. 169-182. | MR 977048 | Zbl 0679.68205
- ,[22] Boundary detection by minimizing functionals, preprint.
- ,[23] J. SHAH, Optimal approximations by piecewice smooth functions and associated variational problems, Comm. Pure Appl. Math., 42 (1989), pp. 577-685. | MR 997568 | Zbl 0691.49036
-[24] Regularity results for almost minimal oriented hypersurfaces in Rn, Quaderni Dip. Mat. Univ. Lecce, n. 1 (1984).
,[25] The structure of singularities in soap-bubble-like and soap-film-like minimal surfaces, Ann. Math., 103 (1976), pp. 489-539. | MR 428181 | Zbl 0335.49032
,[26] Crystalline variational problems, Bull. A.M.S., 84 (1978), pp. 568-588. | MR 493671 | Zbl 0392.49022
,[27] Sulle forme di equilibrio di una goccia di cristallo liquido, Atti Sem. Mat. Fis. Univ. Modena, 38 (1990), pp. 29-38. | Zbl 0698.76109
,[28] Spaces BV and quasi-linear equations, Math. USSR Sbornik, 17 (1967), pp. 225-267.
,[29] Functionals defined on partitions ... - I e II, J. Math. Pures Appl., 69 (1990), pp. 285-305 e pp. 307-333. | Zbl 0676.49029
- ,[30] On the existence of solutions to a problem in multidimensional segmentation, Ann. Inst. H. Poincaré, Anal. non Linéaire, 8 (1991), pp. 175-195. | Numdam | MR 1096603 | Zbl 0729.49003
- ,[31] Regularity properties of optimal segmentations, J. Reine Angew. Math. (1991), to appear. | MR 1124566 | Zbl 0729.49004
- ,