Shapour Heidarkhani
Abstract:
In this work, we establish the existence of two intervals for
a parameter
for which a two-point boundary-value
problem of fourth-order Sturm-Liouville type admits three weak
solutions whose norms are uniformly bounded with respect to
.
Employing two three critical point theorems, existence of at least
three weak solutions is ensured. This approach is based on variational
methods and critical point theory.
Submitted January 20, 2012. Published May 23, 2012.
Math Subject Classifications: 35J35, 47J10, 58E05.
Key Words: Fourth-order Sturm-Liouville problem; critical point;
multiplicity of solutions.
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Shapour Heidarkhani Department of Mathematics, Faculty of Sciences Razi University, 67149 Kermanshah, Iran School of Mathematics Institute for Research in Fundamental Sciences P.O. Box 19395-5746, Tehran, Iran email: sh.heidarkhani@yahoo.com s.heidarkhani@razi.ac.ir |
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