Pointwise Calderón-Zygmund gradient estimates for the $p$-Laplace system

Breit D, Cianchi A, Diening L, Kuusi T, Schwarzacher S (2015)
arXiv:1510.02612.

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Preprint | Englisch
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Pointwise estimates for the gradient of solutions to the $p$-Laplace system with right-hand side in divergence form are established. They enable us to develop a nonlinear counterpart of the classical Calder\'on-Zygmund theory in terms of Calder\'on-Zygmund singular integrals, for the Laplacian. As a consequence, a flexible, comprehensive approach to gradient bounds for the $p$-Laplace system for a broad class of norms is derived. In particular, new gradient estimates are exhibited, and well-known results in customary function spaces are easily recovered.
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arXiv:1510.02612
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Breit D, Cianchi A, Diening L, Kuusi T, Schwarzacher S. Pointwise Calderón-Zygmund gradient estimates for the $p$-Laplace system. arXiv:1510.02612. 2015.
Breit, D., Cianchi, A., Diening, L., Kuusi, T., & Schwarzacher, S. (2015). Pointwise Calderón-Zygmund gradient estimates for the $p$-Laplace system. arXiv:1510.02612
Breit, D., Cianchi, A., Diening, L., Kuusi, T., and Schwarzacher, S. (2015). Pointwise Calderón-Zygmund gradient estimates for the $p$-Laplace system. arXiv:1510.02612.
Breit, D., et al., 2015. Pointwise Calderón-Zygmund gradient estimates for the $p$-Laplace system. arXiv:1510.02612.
D. Breit, et al., “Pointwise Calderón-Zygmund gradient estimates for the $p$-Laplace system”, arXiv:1510.02612, 2015.
Breit, D., Cianchi, A., Diening, L., Kuusi, T., Schwarzacher, S.: Pointwise Calderón-Zygmund gradient estimates for the $p$-Laplace system. arXiv:1510.02612. (2015).
Breit, Dominic, Cianchi, Andrea, Diening, Lars, Kuusi, Tuomo, and Schwarzacher, Sebastian. “Pointwise Calderón-Zygmund gradient estimates for the $p$-Laplace system”. arXiv:1510.02612 (2015).

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