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$C^1$ regularity of
orthotropic $p$-harmonic functions in the plane
Pierre Bousquet and Lorenzo Brasco |
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Vol. 11 (2018), No. 4, 813–854
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Abstract |
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We prove that local weak solutions of the orthotropic -harmonic equation in are functions. |
Keywords
degenerate and singular problems, regularity of minimizers
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Mathematical Subject Classification 2010
Primary: 49N60, 49K20, 35B65
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Milestones
Received: 31 August 2016
Revised: 30 August 2017
Accepted: 24 October 2017
Published: 12 January 2018
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Authors |
| Pierre Bousquet | |
| Institut de Mathématiques de
Toulouse, CNRS UMR 5219 Université de Toulouse Toulouse France |
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| Lorenzo Brasco | |
| Dipartimento di Matematica e
Informatica Università degli Studi di Ferrara Ferrara Italy |
Institut de Mathématiques de
Marseille Aix-Marseille Université Marseille France |
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