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Creators/Authors contains: "Marchese, Andrea"

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  1. ; ; ; ; (, Nonlinear Analysis)
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  2. ; ; ; (, Communications on Pure and Applied Mathematics)
    Abstract We establish a theory ofQ‐valued functions minimizing a suitable generalization of the Dirichlet integral. In a second paper the theory will be used to approximate efficiently area minimizing currentsmod(p)whenp = 2Q, and to establish a first general partial regularity theorem for everypin any dimension and codimension . © 2020 The Authors.Communications on Pure and Applied Mathematicspublished by Wiley Periodicals LLC. 
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  3. ; ; ; ; (, Discrete & Continuous Dynamical Systems)
    We prove the stability of optimal traffic plans in branched transport. In particular, we show that any limit of optimal traffic plans is optimal as well. This result goes beyond the Eulerian stability proved in [7], extending it to the Lagrangian framework. 
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  4. ; ; ; (, Geometric and Functional Analysis)
    Abstract We establish a first general partial regularity theorem for area minimizing currents$${\mathrm{mod}}(p)$$ mod ( p ) , for everyp, in any dimension and codimension. More precisely, we prove that the Hausdorff dimension of the interior singular set of anm-dimensional area minimizing current$${\mathrm{mod}}(p)$$ mod ( p ) cannot be larger than$$m-1$$ m - 1 . Additionally, we show that, whenpis odd, the interior singular set is$$(m-1)$$ ( m - 1 ) -rectifiable with locally finite$$(m-1)$$ ( m - 1 ) -dimensional measure. 
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  5. ; ; (, Communications on Pure and Applied Mathematics)
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