We prove that local weak solutions of the orthotropic $p-$harmonic equation are locally Lipschitz, for every $pge 2$ 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.
On the Lipschitz character of orthotropic p-harmonic functions
Lorenzo BrascoSecondo
;
2018
Abstract
We prove that local weak solutions of the orthotropic $p-$harmonic equation are locally Lipschitz, for every $pge 2$ 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.File in questo prodotto:
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