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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- Dahmane Bouafia (corresponding author)
https://orcid.org/0000-0002-4471-9338- University of M'sila, Department of Mathematics, M'sila, Algeria
- Toufik Moussaoui
- Laboratory of Fixed Point Theory and Applications, Department of Mathematics, E.N.S. Kouba, Algiers, Algeria
- Communicated by Binlin Zhang.
- Received: 2019-10-26.
- Revised: 2020-08-17.
- Accepted: 2020-08-19.
- Published online: 2020-10-10.
