paper on free-discontinuity variational problems including several details on the theory of SBV functions, their applications and a rich bibliography. . The first part of a survey of many different definitions of "Total variation" and associated functions of bounded variation. . The second part of a survey of many different definitions of "Total variation" and associated functions of bounded variation. (at Gallica). This is, according to Boris Golubov, the first paper on functions of bounded variation. (). An important paper where the author describes generalized solutions of nonlinear partial differential equations as functions. (). An important paper where the author constructs a weak solution in BV for a nonlinear partial differential equation with the method of vanishing viscosity. Tony F. Chan and Jianhong (Jackie) Shen (2005), Image Processing and Analysis - Variational, PDE, Wavelet, and Stochastic Methods, SIAM Publisher, (with in-depth coverage and extensive applications of Bounded Variations in modern image processing, as started by Rudin, Osher, and Fatemi). External links Theory . Function of bounded variation at Encyclopedia of Mathematics Other Luigi Ambrosio home page at the Scuola Normale Superiore di Pisa. Academic home page (with preprints and publications) of one of the contributors to the theory and applications of BV functions. Research Group in Calculus of Variations and Geometric Measure Theory, Scuola Normale Superiore di Pisa. Real analysis Calculus of variations Measure theory