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On the Lipschitz character of orthotropic p-harmonic functions.
- Source :
- Calculus of Variations & Partial Differential Equations; Jun2018, Vol. 57 Issue 3, p1-1, 1p
- Publication Year :
- 2018
-
Abstract
- We prove that local weak solutions of the orthotropic p-harmonic equation are locally Lipschitz, for every p≥2<inline-graphic></inline-graphic> 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09442669
- Volume :
- 57
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Calculus of Variations & Partial Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 130103636
- Full Text :
- https://doi.org/10.1007/s00526-018-1349-3