Existence of solutions for a fourth-order boundary value problem on the half-line via critical point theory

Mabrouk Briki; Toufik Moussaoui; Donal O’Regan

doi:10.14232/ejqtde.2016.1.24

Existence of solutions for a fourth-order boundary value problem on the half-line via critical point theory

Mabrouk Briki, Toufik Moussaoui, Donal O’Regan

Mathematics

École Normale Supérieure

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

4 Citations (Scopus)

Abstract

In this paper, a fourth-order boundary value problem on the half-line is considered and existence of solutions is proved using a minimization principle and the mountain pass theorem.

Original language	English
Article number	24
Journal	Electronic Journal of Qualitative Theory of Differential Equations
Volume	2016
DOIs	https://doi.org/10.14232/ejqtde.2016.1.24
Publication status	Published - 2016

Keywords

Critical point
Fourth-order BVPs
Minimization principle
Mountain-pass theorem
Unbounded interval

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10.14232/ejqtde.2016.1.24

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title = "Existence of solutions for a fourth-order boundary value problem on the half-line via critical point theory",

abstract = "In this paper, a fourth-order boundary value problem on the half-line is considered and existence of solutions is proved using a minimization principle and the mountain pass theorem.",

keywords = "Critical point, Fourth-order BVPs, Minimization principle, Mountain-pass theorem, Unbounded interval",

author = "Mabrouk Briki and Toufik Moussaoui and Donal O{\textquoteright}Regan",

year = "2016",

doi = "10.14232/ejqtde.2016.1.24",

language = "English",

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AU - Briki, Mabrouk

AU - Moussaoui, Toufik

AU - O’Regan, Donal

PY - 2016

Y1 - 2016

N2 - In this paper, a fourth-order boundary value problem on the half-line is considered and existence of solutions is proved using a minimization principle and the mountain pass theorem.

AB - In this paper, a fourth-order boundary value problem on the half-line is considered and existence of solutions is proved using a minimization principle and the mountain pass theorem.

KW - Critical point

KW - Fourth-order BVPs

KW - Minimization principle

KW - Mountain-pass theorem

KW - Unbounded interval

UR - https://www.scopus.com/pages/publications/84975215638

U2 - 10.14232/ejqtde.2016.1.24

DO - 10.14232/ejqtde.2016.1.24

M3 - Article

SN - 1417-3875

VL - 2016

JO - Electronic Journal of Qualitative Theory of Differential Equations

JF - Electronic Journal of Qualitative Theory of Differential Equations

M1 - 24

ER -

Existence of solutions for a fourth-order boundary value problem on the half-line via critical point theory

Abstract

Keywords

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