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- W2609635260 abstract "A longstanding conjecture in elliptic regularity theory inquires whether a |$W^{1,p}$| function whose |$p$|-laplacian is bounded is locally of class |$C^{1,frac{1}{p-1}}$|. While it is well known that such functions are of class |$C^{1,alpha}$| for some unknown |$0<alpha<1$|, establishing the sharp estimate turns out to be a rather delicate problem. Quite recently, the authors managed to establish the conjecture in the plane. In this article, we address the conjecture in higher dimensions and confirm its validity in a number of other meaningful cases." @default.
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- W2609635260 date "2017-04-27" @default.
- W2609635260 modified "2023-10-14" @default.
- W2609635260 title "Towards the $C^{p^prime}$-Regularity Conjecture in Higher Dimensions" @default.
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- W2609635260 doi "https://doi.org/10.1093/imrn/rnx068" @default.
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