Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 69, pp. 1-13.
Title: Triple positive solutions for the $\Phi$-Laplacian
when $\Phi$ is a sup-multiplicative-like function
Author: George L. Karakostas (Univ. of Ioannina, Greece)
Abstract:
The existence of triple positive solutions for a boundary-value
problem governed by the $\Phi$-Laplacian is investigated,
when $\Phi$ is a so-called sup-multiplicative-like function
(in a sense introduced in [22])
and the boundary conditions include nonlinear expressions at the
end points (as in [21, 28]). The Leggett-Williams 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; $\Phi$-Laplacian;
Leggett-Williams fixed point theorem.