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Solving the $p$-Laplacian on manifolds
Troyanov, Marc
2000
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Abstract
We prove in this paper that the equation $\Delta _{p}u+h=0$ on a $p$- hyperbolic manifold $M$ has a solution with $p$-integrable gradient for any bounded measurable function $h : M \to \mathbb R$ with compact support.
Details
Title
Solving the $p$-Laplacian on manifolds
Author(s)
Troyanov, Marc
Published in
Proceedings of the American Mathematical Society
Volume
128
Issue
2
Pages
541-545
Date
2000
Keywords
Differential geometry
;
potential theory
;
non linear partial differential
;
equations.
;
p-Laplacian.
Note
1991 Mathematics Subject Classification : Primary 31C15, 31C12, 31C45; Secondary 53C20
DOI
https://doi.org/10.1090/S0002-9939-99-05035-2
Laboratories
GR-TR
Record Appears in
Scientific production and competences
>
SB - School of Basic Sciences
>
MATH - Institute of Mathematics
>
GR-TR - Troyanov Group
Scientific production and competences
>
SB - School of Basic Sciences
>
Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date
2007-12-17
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