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Titlebook: Variational Methods for Discontinuous Structures; International Worksh Gianni Maso,Franco Tomarelli Conference proceedings 2002 Springer Ba

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Progress in Nonlinear Differential Equations and Their Applicationshttp://image.papertrans.cn/v/image/980587.jpg
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https://doi.org/10.1007/978-3-0348-8193-7Calculus of Variations; Partial differential equations; functional analysis; numerical analysis; partial
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978-3-0348-9470-8Springer Basel AG 2002
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Variational Methods for Discontinuous Structures978-3-0348-8193-7Series ISSN 1421-1750 Series E-ISSN 2374-0280
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Variational Properties of a Model for Image Segmentation with Overlapping Regions,epths in space. By minimizing the functional, we try to reconstruct both a piecewise smooth approximation of the input image . and the contours of the objects together with their hidden portions. Some variational properties of the involved functionals are then studied.
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Variational Theory of Weak Geometric Structures: The Measure Method and Its Applications,thod is adopted, which has been developed in several papers during recent years; it is based on the use of measures, fitted out with suitable tangential properties and functional spaces. Some of the results are new, and their proof will be given in a forthcoming paper.
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Optimal Transportation Problems with Free Dirichlet Regions, optimal transportation problem with an unknown Dirichlet region Σ which varies in the class of closed connected subsets having prescribed 1-dimensional Hausdorff measure. We show the existence of an optimal Σ. and study some of its geometrical properties. We also present numerical computations which show the shape of Σ. in some model examples.
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Emilio Acerbiceptualizations of childhood and children have increasingly focused on the youngest participants in this global trend. These perspectives range from earlier assumptions of the universality of childhood ideals to the growing recognition of childhood and youth as constructed categories that vary great
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