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Sturm theorems for degenerate elliptic equations
Author(s):
Walter
Allegretto
Journal:
Proc. Amer. Math. Soc.
129
(2001),
3031-3035.
MSC (2000):
Primary 35B05;
Secondary 35D99
Posted:
March 29, 2001
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Abstract:
We employ a version of the Picone Identity, suitable for the  -Laplacean, to obtain a Sturm Comparison Theorem for generalized solutions. This answers a question posed by Dunninger in 1995.
References:
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 and applications, Nonlinear Analysis T.M.A. 32 (1998), 819-830. MR 99c:35051 - 4.
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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:
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
Posted:
March 29, 2001
Additional Notes:
Research supported in part by NSERC (Canada)
Communicated by:
David S. Tartakoff
Copyright of article:
Copyright
2001,
American Mathematical Society
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