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  5. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.48 (2016)
  6. Some properties of De Giorgi classes
 
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Some properties of De Giorgi classes

Di Benedetto, Emmanuele
•
Gianazza, Ugo
2016
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ISSN
0049-4704
DOI
10.13137/2464-8728/13159
http://hdl.handle.net/10077/13159
  • Article

e-ISSN
2464-8728
Abstract
The DeGiorgi classes [DG]p(E; γ), defined in (1)± below encompass, solutions of quasilinear elliptic equations with measurable coefficients as well as minima and Q-minima of variational integrals. For these classes we present some new results (§ 2and§ 3.1), and some known facts scattered in the literature (§ 3–§ 5), and formulate some open issues (§ 6).
Series
Rendiconti dell'Istituto di matematica dell'Università di Trieste: an International Journal of Mathematics
48 (2016)
Subjects
  • De Giorgi classes

  • Hölder continuity

  • Harnack inequality

  • higher integrability

  • boundary behavior

  • decay estimates

Publisher
EUT Edizioni Università di Trieste
Licence
http://creativecommons.org/licenses/by-nc-nd/4.0/
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11_RIMUT48.pdf

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1.89 MB

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