Shapour Heidarkhani, Ghasem Alizadeh Afrouzi, Donal O'Regan
Abstract:
In this note, we establish the existence of two intervals of
positive real parameters
for which the boundary-value
problem of Kirchhoff-type
admits three weak solutions whose norms are
uniformly bounded with respect to
belonging to one of the
two intervals. Our main tool is a three critical point theorem by
Bonanno.
Submitted April 26, 2011. Published July 6, 2011.
Math Subject Classifications: 35J20, 35J25, 35J60.
Key Words: Kirchhoff-type problem; multiple solutions; critical point.
Show me the PDF file (241 KB), TEX file, and other files for this article.
Shapour Heidarkhani Department of Mathematics Faculty of Sciences, Razi University 67149 Kermanshah, Iran email: s.heidarkhani@razi.ac.ir | |
Ghasem Alizadeh Afrouzi Department of Mathematics, Faculty of Basic Sciences University of Mazandaran, 47416-1467 Babolsar, Iran email: afrouzi@umz.ac.ir | |
Donal O'Regan Department of Mathematics National University of Ireland Galway, Ireland email: donal.oregan@nuigalway.ie |
Return to the EJDE web page