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

Khripunova Balci A, Cianchi A, Diening L, Maz'ya V (2021)
arXiv:2102.09423.

Preprint | 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 $\mathbb{R}^n$ 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
arXiv:2102.09423
Page URI
https://pub.uni-bielefeld.de/record/2951518

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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. arXiv:2102.09423. 2021.
Khripunova Balci, A., Cianchi, A., Diening, L., & Maz'ya, V. (2021). A pointwise differential inequality and second-order regularity for nonlinear elliptic systems. arXiv:2102.09423
Khripunova Balci, A., Cianchi, A., Diening, L., and Maz'ya, V. (2021). A pointwise differential inequality and second-order regularity for nonlinear elliptic systems. arXiv:2102.09423.
Khripunova Balci, A., et al., 2021. A pointwise differential inequality and second-order regularity for nonlinear elliptic systems. arXiv:2102.09423.
A. Khripunova Balci, et al., “A pointwise differential inequality and second-order regularity for nonlinear elliptic systems”, arXiv:2102.09423, 2021.
Khripunova Balci, A., Cianchi, A., Diening, L., Maz'ya, V.: A pointwise differential inequality and second-order regularity for nonlinear elliptic systems. arXiv:2102.09423. (2021).
Khripunova Balci, Anna, Cianchi, Andrea, Diening, Lars, and Maz'ya, Vladimir. “A pointwise differential inequality and second-order regularity for nonlinear elliptic systems”. arXiv:2102.09423 (2021).

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