The De Giorgi method for local and nonlocal systems
Behn L, Diening L, Nowak SN, Scharle T (2025)
Journal of the London Mathematical Society 112(1).
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| Veröffentlicht | Englisch
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**Abstract**
We extend the De Giorgi iteration technique to the vectorial setting. For this we replace the usual scalar truncation operator by a vectorial shortening operator. As an application, we prove local boundedness for local and nonlocal nonlinear systems. Furthermore, we show convex hull properties, which are a generalization of the maximum principle to the case of systems.
Erscheinungsjahr
2025
Zeitschriftentitel
Journal of the London Mathematical Society
Band
112
Ausgabe
1
Urheberrecht / Lizenzen
ISSN
0024-6107
eISSN
1469-7750
Page URI
https://pub.uni-bielefeld.de/record/3005511
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Behn L, Diening L, Nowak SN, Scharle T. The De Giorgi method for local and nonlocal systems. Journal of the London Mathematical Society. 2025;112(1).
Behn, L., Diening, L., Nowak, S. N., & Scharle, T. (2025). The De Giorgi method for local and nonlocal systems. Journal of the London Mathematical Society, 112(1). https://doi.org/10.1112/jlms.70237
Behn, Linus, Diening, Lars, Nowak, Simon Noah, and Scharle, Toni. 2025. “The De Giorgi method for local and nonlocal systems”. Journal of the London Mathematical Society 112 (1).
Behn, L., Diening, L., Nowak, S. N., and Scharle, T. (2025). The De Giorgi method for local and nonlocal systems. Journal of the London Mathematical Society 112.
Behn, L., et al., 2025. The De Giorgi method for local and nonlocal systems. Journal of the London Mathematical Society, 112(1).
L. Behn, et al., “The De Giorgi method for local and nonlocal systems”, Journal of the London Mathematical Society, vol. 112, 2025.
Behn, L., Diening, L., Nowak, S.N., Scharle, T.: The De Giorgi method for local and nonlocal systems. Journal of the London Mathematical Society. 112, (2025).
Behn, Linus, Diening, Lars, Nowak, Simon Noah, and Scharle, Toni. “The De Giorgi method for local and nonlocal systems”. Journal of the London Mathematical Society 112.1 (2025).
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2025-07-23T05:46:10Z
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