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arXiv · 1607.06648

A sharp estimate a la calderon-zygmund for the p--laplacian

Lorenzo Brasco·Filippo Santambrogio
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Abstract

We consider local weak solutions of the Poisson equation for the p--Laplace operator. We prove a higher differentiability result, under an essentially sharp condition on the right-hand side. The result comes with a local scaling invariant a priori estimate.

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Lorenzo Brasco, Filippo Santambrogio. 2016-07-22. A sharp estimate a la calderon-zygmund for the p--laplacian. https://arxiv.org/abs/1607.06648

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