EMIS ELibM Electronic Journals MATEMATIČKI VESNIK
Vol. 69, No. 4, pp. 271–280 (2017)

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Existence of three weak solutions for a quasilinear Dirichlet problem

S. Shokooh and G.A. Afrouzi

G.A.A: Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran E-mail: afrouzi@umz.ac.ir

Abstract: The aim of this note is to establish the existence of three solutions for a two-point boundary value problem. The approach is based on variational methods. Some particular cases and two concrete examples are then presented.

Keywords: Dirichlet boundary condition; variational methods; critical points.

Classification (MSC2000): 34B15; 34B18, 58E05

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