Electron. J. Diff. Equ., Vol. 2015 (2015), No. 45, pp. 1-11.

Three solutions for a fourth-order boundary-value problem

Ghasem A. Afrouzi, Saeid Shokooh

Abstract:
Using two three-critical points theorems, we prove the existence of at least three weak solutions for one-dimensional fourth-order equations. Some particular cases and two concrete examples are then presented.

Submitted November 14, 2014. Published February 17, 2015.
Math Subject Classifications: 34B15, 34B18, 58E05.
Key Words: Dirichlet boundary condition; variational method; critical point

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Ghasem A. Afrouzi
Department of Mathematics
Faculty of Mathematical Sciences
University of Mazandaran, Babolsar, Iran
email: afrouzi@umz.ac.ir
Saeid Shokooh
Department of Mathematics
Faculty of Mathematical Sciences
University of Mazandaran, Babolsar, Iran
email: saeid.shokooh@stu.umz.ac.ir

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