Author： Françoise Demengel
Publisher： Taylor & Francis Ltd
ISSN： 0003-6811
Source： Applicable Analysis, Vol.83, Iss.9, 2004-09, pp. : 865-896
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Abstract
In this article we establish some theoretical results for functions in BV(
) which are such that div (
u / | u|)
LN(). denotes an open bounded set in and 
= ( u / | u|) is such that · u = | u| in the distributional sense. Among the results are the study of the first eigenvalue and related eigenfunctions for the 1-Laplacian operator defined as div ( · / | · |).
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