MINIMIZATION PRINCIPLE IN ORDERED BANACH SPACES AND APPLICATION VIA EKELANDS VARIATIONAL PRINCIPLE

Amina Boucenna; Mabrouk Briki; Toufik Moussaoui; Donald O'Regan

doi:10.13025/25713

MINIMIZATION PRINCIPLE IN ORDERED BANACH SPACES AND APPLICATION VIA EKELANDS VARIATIONAL PRINCIPLE

Amina Boucenna
, Mabrouk Briki
, Toufik Moussaoui
, Donald O'Regan

Mathematics

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

Abstract

In this paper we establish a minimization principle in an ordered Banach space (in particular in a Riesz-Banach space). As an application we discuss the existence of a positive solution for a boundary value problem on the half-line even when the nonlinear term is signchanging.

Original language	English (Ireland)
Number of pages	6
Journal	Differential Equations & Applications
Volume	9
DOIs	https://doi.org/10.13025/25713 https://doi.org/10.7153/dea-09-08
Publication status	Published - 1 Feb 2017

Keywords

cone
critical point
ekeland's variational principal
minimization principle
riesz-banach space

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10.13025/25713Licence: CC BY
10.7153/dea-09-08

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title = "MINIMIZATION PRINCIPLE IN ORDERED BANACH SPACES AND APPLICATION VIA EKELANDS VARIATIONAL PRINCIPLE",

abstract = "In this paper we establish a minimization principle in an ordered Banach space (in particular in a Riesz-Banach space). As an application we discuss the existence of a positive solution for a boundary value problem on the half-line even when the nonlinear term is signchanging.",

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author = "Amina Boucenna and Mabrouk Briki and Toufik Moussaoui and Donald O'Regan",

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AU - Boucenna, Amina

AU - Briki, Mabrouk

AU - Moussaoui, Toufik

AU - O'Regan, Donald

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AB - In this paper we establish a minimization principle in an ordered Banach space (in particular in a Riesz-Banach space). As an application we discuss the existence of a positive solution for a boundary value problem on the half-line even when the nonlinear term is signchanging.

KW - cone

KW - critical point

KW - ekeland's variational principal

KW - minimization principle

KW - riesz-banach space

UR - http://hdl.handle.net/10379/10488

U2 - 10.13025/25713

DO - 10.13025/25713

M3 - Article

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JO - Differential Equations & Applications

JF - Differential Equations & Applications

ER -

MINIMIZATION PRINCIPLE IN ORDERED BANACH SPACES AND APPLICATION VIA EKELANDS VARIATIONAL PRINCIPLE

Abstract

Keywords

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