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arXiv · 1708.09739

On the Lipschitz character of orthotropic $p-$harmonic functions

Pierre Bousquet·Lorenzo Brasco·Chiara Leone·Anna Verde
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Abstract

We prove that local weak solutions of the orthotropic $p-$harmonic equation are locally Lipschitz, for every $p\ge 2$ and in every dimension. More generally, the result holds true for more degenerate equations with orthotropic structure, with right-hand sides in suitable Sobolev spaces.

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Pierre Bousquet, Lorenzo Brasco, Chiara Leone, Anna Verde. 2017-08-31. On the Lipschitz character of orthotropic $p-$harmonic functions. https://arxiv.org/abs/1708.09739

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