Abstract
In this chapter we address the problem of the regularity of minimizers of variational integrals and quasilinear elliptic equations in the scalar case. The key result is the celebrated theorem of De Giorgi [24], also known as De Giorgi-Nash theorem or De Giorgi-Nash-Moser theorem.
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© 2012 Scuola Normale Superiore Pisa
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Giaquinta, M., Martinazzi, L. (2012). The regularity problem in the scalar 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_8
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DOI: https://doi.org/10.1007/978-88-7642-443-4_8
Publisher Name: Edizioni della Normale, Pisa
Print ISBN: 978-88-7642-442-7
Online ISBN: 978-88-7642-443-4
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