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Short Tales from Nonlinear Calderón-Zygmund Theory

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Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions

Part of the book series: Lecture Notes in Mathematics ((LNMCIME,volume 2186))

Abstract

Nonlinear Calderón-Zygmund Theory aims at reproducing, in the nonlinear setting, the classical linear theory originally developed by Calderón and Zygmund. This topic has large intersections with Nonlinear Potential Theory. We survey here the main results of this theory.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Parma, I-43124, Parma, Italy

    Giuseppe Mingione

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  1. Giuseppe Mingione
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Editors and Affiliations

  1. Departamento de Matemáticas, Universidad Autónoma de Madrid, Madrid, Spain

    Matteo Bonforte

  2. Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

    Gabriele Grillo

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Mingione, G. (2017). Short Tales from Nonlinear Calderón-Zygmund Theory. In: Bonforte, M., Grillo, G. (eds) Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions. Lecture Notes in Mathematics(), vol 2186. Springer, Cham. https://doi.org/10.1007/978-3-319-61494-6_4

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