## Abstract

In this paper we are concerned with the existence and localization of multiple positive solutions of a boundary value problem on the half-line associated to second-order differential equations. We use a variational approach based on critical point theory in conical shells and a Harnack type inequality. The specific compactness involved by the problems on infinite intervals is guaranteed by a growth condition on the nonlinear term which is tempered towards infinity.

## Authors

**Habiba Boulaiki
**Faculty of Mathematics, USTHB, 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

## Keywords

Critical point; Mountain-pass lemma; Compression; Positive solution; Harnack inequality

## Paper coordinates

H. Boulaiki, T. Moussaoui, R. Precup, *Multiple positive solutions for a second-order boundary value problem on the half-line*, J. Nonlinear Funct. Anal. 2017 (2017), Art. ID 17, 1-25, http://dx.doi.org/10.23952/jnfa.2017.17

## About this paper

##### Journal

Journal Nonlinear Functional Analysis

##### Publisher Name

Mathematical Research Press

##### Print ISSN

##### Online ISSN

2052532X

google scholar link

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