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Regularity of minima: An invitation to the dark side of the calculus of variations

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Abstract

I am presenting a survey of regularity results for both minima of variational integrals, and solutions to non-linear elliptic, and sometimes parabolic, systems of partial differential equations. I will try to take the reader to the Dark Side...

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  1. Università di Parma, Parco Area delle Scienze 53/A, Campus, 431 00, Parma, Italy

    Giuseppe Mingione

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This work has been partially supported by MIUR via the project “Calcolo delle Variazioni” (Cofin 2004), and by GNAMPA via the project “Studio delle singolarità in problemi geometrici e variazionali”.

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Mingione, G. Regularity of minima: An invitation to the dark side of the calculus of variations. Appl Math 51, 355–426 (2006). https://doi.org/10.1007/s10778-006-0110-3

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