George L. Karakostas
The existence of triple positive solutions for a boundary-value problem governed by the -Laplacian is investigated, when is a so-called sup-multiplicative-like function (in a sense introduced in ) 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 .
Submitted February 5, 2004. Published May 6, 2004.
Math Subject Classifications: 34B15, 34B18.
Key Words: Boundary value problems, positive solutions, -Laplacian, Leggett-Williams fixed point theorem.
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| George L. Karakostas |
Department of Mathematics
University of Ioannina,
451 10 Ioannina, Greece
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