Electron. J. Diff. Equ., Vol. 2013 (2013), No. 125, pp. 1-16.

Existence of multiple solutions for a mixed boundary-value problem

Shapour Heidarkhani, Ghasem Alizadeh Afrouzi, Armin Hadjian

Abstract:
Using three critical points theorems, we prove the existence of at least three solutions for a second-order mixed boundary-value problem.

Submitted October 31, 2012. Published May 21, 2013.
Math Subject Classifications: 34B15, 35B38, 58E05.
Key Words: Mixed boundary value problem; critical points; variational methods.

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Shapour Heidarkhani
Department of Mathematics, Faculty of Sciences
Razi University, 67149 Kermanshah, Iran.
Institute for Research in Fundamental Sciences (IPM)
P.O. Box 19395-5746, Tehran, Iran
email: s.heidarkhani@razi.ac.ir
Ghasem Alizadeh Afrouzi
Department of Mathematics, Faculty of Mathematical Sciences
University of Mazandaran, Babolsar, Iran
email: afrouzi@umz.ac.ir
Armin Hadjian
Department of Mathematics, Faculty of Mathematical Sciences
University of Mazandaran, Babolsar, Iran
email: a.hadjian@umz.ac.ir

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