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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Sturm theorems for degenerate elliptic equations


Author: Walter Allegretto
Journal: Proc. Amer. Math. Soc. 129 (2001), 3031-3035
MSC (2000): Primary 35B05; Secondary 35D99
Published electronically: March 29, 2001
MathSciNet review: 1840109
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Abstract | References | Similar Articles | Additional Information

Abstract: We employ a version of the Picone Identity, suitable for the $p$-Laplacean, to obtain a Sturm Comparison Theorem for generalized solutions. This answers a question posed by Dunninger in 1995.


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Additional Information

Walter Allegretto
Affiliation: Department of Mathematical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1
Email: wallegre@retl.math.ualberta.ca

DOI: http://dx.doi.org/10.1090/S0002-9939-01-05979-2
PII: S 0002-9939(01)05979-2
Keywords: Picone's Identity, $p\text{-Laplacean}$, generalized solutions, Sturm Theorems
Received by editor(s): March 2, 2000
Published electronically: March 29, 2001
Additional Notes: Research supported in part by NSERC (Canada)
Communicated by: David S. Tartakoff
Article copyright: © Copyright 2001 American Mathematical Society