The solvability of Dirichlet problem for a class of degenerate elliptic equations with L 1-data

In this article, we prove the existence and uniqueness of entropy solutions for the Dirichlet problem where L is a degenerate elliptic operator and f∈L 1 (Ω).

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Bibliographic Details
Published in	Applicable analysis Vol. 85; no. 8; pp. 941 - 961
Main Author	Cavalheiro, Albo Carlos
Format	Journal Article
Language	English
Published	Taylor & Francis Group 01.08.2006
Subjects	AMS 2000 Mathematics Subject Classifications Degenerate elliptic equations Entropy solutions Weighted Sobolev spaces
Online Access	Get full text
ISSN	0003-6811 1563-504X
DOI	10.1080/00036810600790075

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Summary:	In this article, we prove the existence and uniqueness of entropy solutions for the Dirichlet problem where L is a degenerate elliptic operator and f∈L 1 (Ω).
ISSN:	0003-6811 1563-504X
DOI:	10.1080/00036810600790075