On the Fredholm Alternative for the -Laplacian
Authors:
Paul A. Binding, Pavel Drábek and Yin Xi Huang
Journal:
Proc. Amer. Math. Soc. 125 (1997), 3555-3559
MSC (1991):
Primary 35J65, 35P30
DOI:
https://doi.org/10.1090/S0002-9939-97-03992-0
MathSciNet review:
1416077
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Abstract | References | Similar Articles | Additional Information
Abstract: Consider
where and
and let
be the principal eigenvalue of the problem with
. For
, we discuss for which values of
and
the Fredholm alternative holds.
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Additional Information
Paul A. Binding
Affiliation:
Department of Mathematics & Statistics, University of Calgary, Calgary, Alberta, Canada T2N 1N4
Pavel Drábek
Affiliation:
Department of Mathematics, University of West Bohemia, P.O. Box 314, 30614 Pilsen, Czech Republic
Yin Xi Huang
Affiliation:
Department of Mathematical Sciences, University of Memphis, Memphis, Tennessee 38152
Email:
huangy@mathsci.msci.memphis.edu
DOI:
https://doi.org/10.1090/S0002-9939-97-03992-0
Keywords:
Fredholm alternative,
the $p$-Laplacian
Received by editor(s):
June 21, 1996
Additional Notes:
Research of the authors was supported by NSERC of Canada and the I.W. Killam Foundation, the Grant # 201/94/0008 of the Grant Agency of the Czech Republic, and a University of Memphis Faculty Research Grant respectively
Communicated by:
Palle E. T. Jorgensen
Article copyright:
© Copyright 1997
American Mathematical Society