We prove that local weak solutions of the orthotropic p−harmonic equation are locally Lipschitz, for every p≥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 / Bousquet, P.; Brasco, L.; Leone, C.; Verde, A.. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - 57:3(2018), pp. 1-33. [10.1007/s00526-018-1349-3]
On the Lipschitz character of orthotropic p -harmonic functions
Leone, C.;Verde, A.
2018
Abstract
We prove that local weak solutions of the orthotropic p−harmonic equation are locally Lipschitz, for every p≥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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