Variational problems on classes of rearrangements and multiple configurations for steady vortices
G. R. Burton (1989)
Annales de l'I.H.P. Analyse non linéaire
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G. R. Burton (1989)
Annales de l'I.H.P. Analyse non linéaire
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Andrea Braides, Anneliese Defranceschi, Enrico Vitali (2002)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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As a model for the energy of a brittle elastic body we consider an integral functional consisting of two parts: a volume one (the usual linearly elastic energy) which is quadratic in the strain, and a surface part, which is concentrated along the fractures (i.e. on the discontinuities of the displacement function) and whose density depends on the jump part of the strain. We study the problem of the lower semicontinuous envelope of such a functional under the assumptions that the surface...
Guillaume Carlier, Filippo Santambrogio (2005)
ESAIM: Control, Optimisation and Calculus of Variations
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We propose a variational model to describe the optimal distributions of residents and services in an urban area. The functional to be minimized involves an overall transportation cost taking into account congestion effects and two aditional terms which penalize concentration of residents and dispersion of services. We study regularity properties of the minimizers and treat in details some examples.
Luca Esposito, Nicola Fusco, Cristina Trombetti (2005)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We state and prove a stability result for the anisotropic version of the isoperimetric inequality. Namely if is a set with small anisotropic isoperimetric deficit, then is “close” to the Wulff shape set.
Irene Fonseca, Nicola Fusco (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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