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arxiv: 1607.06648 · v1 · pith:MINJXE4Knew · submitted 2016-07-22 · 🧮 math.AP

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

classification 🧮 math.AP
keywords estimatelocalresultsharpcalderon-zygmundcomesconditionconsider
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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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