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Part of the book series: Publications of the Scuola Normale Superiore ((LNSNS))

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Abstract

No genaralizations nor counterexamples to the theorem of De Giorgi were found during the years 1957–67 for the vector case m > 1. With the exception of the special case n = 2, general regularity results for elliptic systems were not available, and in fact, as shown from 1968 on, not valid.

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© 2012 Scuola Normale Superiore Pisa

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Giaquinta, M., Martinazzi, L. (2012). Partial regularity in the vector-valued case. In: An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs. Publications of the Scuola Normale Superiore. Edizioni della Normale, Pisa. https://doi.org/10.1007/978-88-7642-443-4_9

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