$W_0^{1,1} SOLUTIONS IN SOME BORDERLINE CASES OF CALDERON-ZYGMUND THEORY$
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W_0^{1,1} SOLUTIONS IN SOME BORDERLINE CASES OF CALDERON-ZYGMUND THEORY

In this paper we study the existence of W 1,1 0 (Ω) dis-tributional solutions of Dirichlet problems whose simplest example is −div |∇u| p−2 ∇u = f (x), in Ω; u = 0, on ∂Ω.

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Bibliographic Details
Published in:	Journal of Differential Equations Vol. 253; no. 9
Main Authors:	Boccardo, Lucio, Gallouët, Thierry
Format:	Journal Article
Language:	English
Published:	Elsevier 01-11-2012
Subjects:	Classical Analysis and ODEs Mathematics
Online Access:	Get full text
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Summary:	In this paper we study the existence of W 1,1 0 (Ω) dis-tributional solutions of Dirichlet problems whose simplest example is −div \|∇u\| p−2 ∇u = f (x), in Ω; u = 0, on ∂Ω.
ISSN:	0022-0396 1090-2732
DOI:	10.1016/j.jde.2012.07.003