Multiple positive solutions to a (2m)th-order boundary value problem


The aim of the present paper is to study the existence, localization and multiplicity of positive solutions for a (2m)th-order boundary value problem subject to the Dirichlet conditions. Our approach is based on critical point theory in conical shells and Harnack type inequalities.


Habiba Boulaiki
Faculty of Mathematics  USTHB, PO. BOX 32, El-Alia Bab-Ezzouar Algiers, Algeria

Toufik Moussaoui
Laboratory of fixed point theory and applications ecole normale superieure, Kouba, Algiers, Algeria

Radu Precup
Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania


Higher order boundary value problem; critical point; mountain pass geometry; compression-expansion; cone; positive solution; Harnack inequality.

Paper coordinates

H. Boulaiki, T. Moussaoui, R. Precup, Multiple positive solutions to a (2m)th-order boundary value problem, Carpathian J. Math. 34 (2018), 167-182,


About this paper


Journal Carpathian of Mathematics

Publisher Name
Print ISSN

1584 – 2851

Online ISSN

1843 – 4401

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