Opuscula Math. 40, no. 5 (2020), 537-548
https://doi.org/10.7494/OpMath.2020.40.5.537

Opuscula Mathematica

# Existence results for a sublinear second order Dirichlet boundary value problem on the half-line

Dahmane Bouafia
Toufik Moussaoui

Abstract. In this paper we study the existence of nontrivial solutions for a boundary value problem on the half-line, where the nonlinear term is sublinear, by using Ekeland's variational principle and critical point theory.

Keywords: Ekeland's variational principle, critical point.

Mathematics Subject Classification: 34B40, 35A15, 35B38, 45C05, 34B24, 46T20.

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• Toufik Moussaoui
• Laboratory of Fixed Point Theory and Applications, Department of Mathematics, E.N.S. Kouba, Algiers, Algeria
• Communicated by Binlin Zhang.
• Revised: 2020-08-17.
• Accepted: 2020-08-19.
• Published online: 2020-10-10.