Electron. J. Diff. Eqns., Vol. 2000(2000), No. 52, pp. 142.
Multiplicity results for classes of onedimensional pLaplacian
boundaryvalue problems with cubiclike nonlinearities
Idris Addou
Abstract:
We study boundaryvalue problems of the type
where p>1,
, and
is positive. We provide multiplicity results when f behaves like
a cubic with three distinct roots, at which it satisfies Lipschitztype
conditions involving a parameter q>1. We shall show how changes in the
position of q with respect to p lead to different behavior of the
solution set. When dealing with signchanging solutions, we assume
that f is halfodd; a condition generalizing the usual oddness.
We use a quadrature method.
Submitted April 16, 1999. Revised May 1, 2000. Published July 3, 2000.
Math Subject Classifications: 34B15.
Key Words: pLaplacian, timemaps, multiplicity results,
cubiclike nonlinearities.
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Idris Addou
USTHB, Institut de Mathematiques
ElAlia, B.P. no. 32 BabEzzouar
16111, Alger, Algerie.
email: idrisaddou@hotmail.com 
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