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arXiv · 1801.08661

Regularity for an anisotropic equation in the plane

Peter Lindqvist·Diego Ricciotti
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Abstract

We present a simple proof of the $C^1$ regularity of $p$-anisotropic functions in the plane for $2\leq p<\infty$. We achieve a logarithmic modulus of continuity for the derivatives. The monotonicity (in the sense of Lebesgue) of the derivatives is used. The case with two exponents is also included.

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Peter Lindqvist, Diego Ricciotti. 2018-01-26. Regularity for an anisotropic equation in the plane. https://arxiv.org/abs/1801.08661

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