Electron. J. Diff. Equ., Vol. 2014 (2014), No. 35, pp. 1-13.

Existence and multiplicity of solutions for a discrete nonlinear boundary value problem

Ghasem A. Afrouzi, Armin Hadjian

Abstract:
In this article, we show the existence and multiplicity of positive solutions for a discrete nonlinear boundary value problem involving the p-Laplacian. Our approach is based on critical point theorems in finite dimensional Banach spaces.

Submitted November 12, 2013. Published January 29, 2014.
Math Subject Classifications: 39A05, 34B15.
Key Words: Discrete nonlinear boundary value problem; p-Laplacian; multiple solutions; critical point theory.

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Ghasem A. 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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