Calculus of Variations and Geometric Measure Theory
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P. Baroni

Lorentz estimates for degenerate and singular evolutionary systems

created by baroni on 08 Oct 2013

[BibTeX]

Published Paper

Inserted: 8 oct 2013
Last Updated: 8 oct 2013

Journal: J. Differential Equation
Volume: 255
Number: 9
Pages: 2927-2951
Year: 2013
Doi: 10.1016/j.jde.2013.07.024
Links: Link

Abstract:

We prove estimates of Calderón-Zygmund type for evolutionary $p$-Laplacian systems in the setting of Lorentz spaces. We suppose the coefficients of the system to satisfy only a VMO condition with respect to the space variable. Our results hold true, mutatis mutandis, also for stationary $p$-Laplacian systems.


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