@article{ASNSP_1990_4_17_3_439_0, author = {Ambrosio, Luigi}, title = {Metric space valued functions of bounded variation}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {439--478}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 17}, number = {3}, year = {1990}, mrnumber = {1079985}, zbl = {0724.49027}, language = {en}, url = {http://www.numdam.org/item/ASNSP_1990_4_17_3_439_0/} }
TY - JOUR AU - Ambrosio, Luigi TI - Metric space valued functions of bounded variation JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1990 SP - 439 EP - 478 VL - 17 IS - 3 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1990_4_17_3_439_0/ LA - en ID - ASNSP_1990_4_17_3_439_0 ER -
%0 Journal Article %A Ambrosio, Luigi %T Metric space valued functions of bounded variation %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1990 %P 439-478 %V 17 %N 3 %I Scuola normale superiore %U http://www.numdam.org/item/ASNSP_1990_4_17_3_439_0/ %G en %F ASNSP_1990_4_17_3_439_0
Ambrosio, Luigi. Metric space valued functions of bounded variation. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 17 (1990) no. 3, pp. 439-478. http://www.numdam.org/item/ASNSP_1990_4_17_3_439_0/
[1] Semicontinuity problems in the Calculus of Variations. Arch. Rational Mech. Anal., 86, 125-145, 1986. | Zbl
- ,[2] A compactness theorem for a special class of functions of bounded variation. Boll. Un. Mat. It., 3-B, 7, 857-881, 1990. | Zbl
,[3] Existence theory for a new class of variational problems. To appear in Arch. Rational Mech. Anal. | Zbl
,[4] Variational problems in SBV. Acta Applicandae Mathematicae, 17, 1-40, 1989. | Zbl
,[5] The chain rule for distributional derivative. Proc. Amer. Math. Soc., 108, 3, 691-702, 1990. | Zbl
- ,[6] Approximation of functionals depending on jumps by elliptic functionals via Γ-convergence. To appear in: "Communications On Pure and Applied Mathematics". | Zbl
- ,[7] Functionals with linear growth defined on vector valued BV functions. To appear in "Ann. Inst. H. Poincarè".
- - ,[8] Variational convergence for functions and operators. Pitman, Boston, 1984. | Zbl
,[9] Minimal interface criterion for phase transitions in mixtures of Cahn-Hilliard fluids. To appear in: "Ann. Inst. H. Poincarè". | Numdam | Zbl
,[10] On the differentiability of functions which are of bounded variation in Tonelli's sense. Revista Union Mat. Arg., 20, 102-121, 1960. | Zbl
- ,[11] Convex analysis and measurable multifunctions. Lecture Notes in Math., 590, 1977. | Zbl
- ,[12] Sulle funzioni a variazione limitata. Ann. Scuola Norm. Sup. Pisa, Ser. 2, Vol. 5, 1936. | JFM | Numdam | Zbl
,[13] A general theory of variational functionals. "Topics in Functional Analysis 1980-81", Scuola Normale Superiore, Pisa, 1981. | Zbl
- ,[14] Su una teoria generale della misura (r-1)-dimensionale in uno spazio a r dimensioni. Ann. Mat. Pura Appl., 36, 191-213, 1954. | Zbl
,[15] Nuovi teoremi relativi alle misure (r-1)-dimensionali in uno spazio a r dimensioni. Ricerche Mat., 4, 95-113, 1955. | Zbl
,[16] Un nuovo tipo di funzionale del Calcolo delle Variazioni. Atti Accad. Naz. Lincei, Rend. Cl. Sci. Fis. Mat. Natur., 2-VIII, 82, 1989.
- ,[17] Existence theorem for a minimum problem with free discontinuity set. Arch. Rational Mech. Anal., 108, 3, 193-218, 1989. | Zbl
- - ,[18] Su un tipo di convergenza variazionale. Atti Accad. Naz. Lincei, Rend. Cl. Sci. Fis. Mat. Natur., (8) 58, 842-850, 1975. | Zbl
- ,[19] Geometric Measure Theory. Springer Verlag, Berlin, 1969. | Zbl
,[20] A note on Gauss-Green theorem. Proc. Amer. Mat. Soc., 9, 447-451, 1958. | Zbl
,[21] Colloquium lectures on Geometric Measure Theory. Bull. Amer. Math. Soc., 84, 3, 291-338, 1978. | Zbl
,[22] An integral formula for total gradient variation. Arch. Math., 11, 218-222, 1960. | Zbl
- ,[23] Minimal Surfaces and Functions of Bounded Variation. Birkäuser, Boston, 1984. | Zbl
,[24] The gradient theory of phase transitions and the minimal interface criterion. Arch. Rational Mech. Anal., 98, 2, 123-142, 1987. | Zbl
,[25] Un esempio di Γ-convergenza. Boll. Un. Mat. Ital., 5 14-B, 285-299, 1977. | Zbl
- ,[26] Boundary detection by minimizing functionals. Proc. of the IEEE conference on computer vision and pattern recognition, San Francisco, 1985.
- ,[27] Optimal approximation by piecewise smooth functions and associated variational problems. Comm. on Pure and Appl. Math., 17, 4, 577-685, 1989. | Zbl
- ,[28] Weak convergence of completely additive vector functions on a set. Siberian Math. J., 9, 1039-1045, 1968 (translation of Sibirsk Mat. Z., 9, 1386-1394, 1968). | Zbl
,[29] Singular integrals and differentiability properties of functions. Princeton University Press, 1970. | Zbl
,[30] The effect of a singular perturbation on Nonconvex Variational Problems. Arch. Rational Mech. Anal., 101, 209-260, 1988. | Zbl
,[31] Analysis in classes of discontinuous functions and equations of mathematical physics. Martinus Nijhoff Publisher, Dordrecht, 1985. | Zbl
- ,[32] The spaces BV and quasilinear equations. Math. USSR. Sb., 17, 225-267, 1967. | Zbl
,[33] Weakly differentiable functions. Springer Verlag, Berlin, 1989. | Zbl
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