Back to Search Start Over

On the Lipschitz character of orthotropic p-harmonic functions.

Authors :
Bousquet, P.
Brasco, L.
Leone, C.
Verde, A.
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