Electron. J. Diff. Eqns.,
Vol. 2004(2004), No. 69, pp. 113.
Triple positive solutions for the
Laplacian
when
is a supmultiplicativelike function
George L. Karakostas
Abstract:
The existence of triple positive solutions for a boundaryvalue
problem governed by the
Laplacian
is investigated, when
is a socalled supmultiplicativelike function
(in a sense introduced in [22])
and the boundary conditions include nonlinear expressions at the
end points (as in [21, 28]). The LeggettWilliams fixed point
theorem in a cone is used. The results improve and generalize
known results given in [21].
Submitted February 5, 2004. Published May 6, 2004.
Math Subject Classifications: 34B15, 34B18.
Key Words: Boundary value problems, positive solutions,
Laplacian,
LeggettWilliams fixed point theorem.
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George L. Karakostas
Department of Mathematics
University of Ioannina,
451 10 Ioannina, Greece
email: gkarako@cc.uoi.gr 
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