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arXiv · 1802.04197

Regularity of the derivatives of $p$-orthotropic functions in the plane for $1<p<2$

Diego Ricciotti
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Abstract

We present a proof of the $C^1$ regularity of $p$-orthotropic functions in the plane for $1<p<2$, based on the monotonicity of the derivatives. Moreover we achieve an explicit logarithmic modulus of continuity.

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Diego Ricciotti. 2018-02-12. Regularity of the derivatives of $p$-orthotropic functions in the plane for $1<p<2$. https://arxiv.org/abs/1802.04197

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