2015/10/09 by Dominic Breit, Andrea Cianchi, Breit, Dominic +7
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations
paper · doi:10.48550/arxiv.1510.02612
openalex publication_date 2015/10/09 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28
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 Calderón-Zygmund theory in terms of Calderón-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.