A pointwise differential inequality and second-order regularity for nonlinear elliptic systems

Khripunova Balci A, Cianchi A, Diening L, Maz’ya V (2021)
Mathematische Annalen.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Khripunova Balci, AnnaUniBi ; Cianchi, Andrea; Diening, LarsUniBi ; Maz’ya, Vladimir
Abstract / Bemerkung
A sharp pointwise differential inequality for vectorial second-order partial differential operators, with Uhlenbeck structure, is offered. As a consequence, optimal second-order regularity properties of solutions to nonlinear elliptic systems in domains in Rn are derived. Both local and global estimates are established. Minimal assumptions on the boundary of the domain are required for the latter. In the special case of the p-Laplace system, our conclusions broaden the range of the admissible values of the exponent p previously known.
Erscheinungsjahr
2021
Zeitschriftentitel
Mathematische Annalen
ISSN
0025-5831
eISSN
1432-1807
Page URI
https://pub.uni-bielefeld.de/record/2956976

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Khripunova Balci A, Cianchi A, Diening L, Maz’ya V. A pointwise differential inequality and second-order regularity for nonlinear elliptic systems. Mathematische Annalen. 2021.
Khripunova Balci, A., Cianchi, A., Diening, L., & Maz’ya, V. (2021). A pointwise differential inequality and second-order regularity for nonlinear elliptic systems. Mathematische Annalen. https://doi.org/10.1007/s00208-021-02249-9
Khripunova Balci, A., Cianchi, A., Diening, L., and Maz’ya, V. (2021). A pointwise differential inequality and second-order regularity for nonlinear elliptic systems. Mathematische Annalen.
Khripunova Balci, A., et al., 2021. A pointwise differential inequality and second-order regularity for nonlinear elliptic systems. Mathematische Annalen.
A. Khripunova Balci, et al., “A pointwise differential inequality and second-order regularity for nonlinear elliptic systems”, Mathematische Annalen, 2021.
Khripunova Balci, A., Cianchi, A., Diening, L., Maz’ya, V.: A pointwise differential inequality and second-order regularity for nonlinear elliptic systems. Mathematische Annalen. (2021).
Khripunova Balci, Anna, Cianchi, Andrea, Diening, Lars, and Maz’ya, Vladimir. “A pointwise differential inequality and second-order regularity for nonlinear elliptic systems”. Mathematische Annalen (2021).

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arXiv: 2102.09423

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