Idris Addou & Shin-Hwa Wang
Abstract:
We study the exact number of positive solutions of a two-point Dirichlet
boundary-value problem involving the p-Laplacian operator.
We consider the case
and the case
, when the
nonlinearity satisfies
(positone) and has three distinct
simple positive zeros and such that
changes sign exactly twice on
.
Note that we may allow
to
change sign more than twice on
.
We also present
some interesting examples.
Submitted March 8, 2004. Published May 20, 2004.
Math Subject Classifications: 34B18, 34B15.
Key Words: Exact multiplicity result, p-Laplacian, positone problem,
bifurcation, concave-convex-concave nonlinearity,
positive solution, dead core solution, time map.
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Idris Addou Departement de Mathematiques et Statistiques Universite de Montreal C.P. 6128, Succ. Centre-ville, Montreal, Quebec, Canada, H3C2J7 email: addou@dms.umontreal.ca |
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Shin-Hwa Wang Department of Mathematics National Tsing Hua University Hsinchu, Taiwan 300, Republic of China email: shwang@math.nthu.edu.tw |
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