有序巴拿赫空间的极小化原理及其在Ekeland变分原理中的应用

Differential Equations and Applications Pub Date : 2017-01-01 DOI:10.7153/dea-09-08

A. Boucenna, M. Briki, T. Moussaoui, D. Regan

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引用次数: 1

摘要

本文建立了有序Banach空间(特别是Riesz-Banach空间)上的最小化原理。作为一个应用，我们讨论了当非线性项变化时，边值问题在半线上正解的存在性。数学学科分类(2010):35B38, 47L07。

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Minimization principle in ordered Banach spaces and application via Ekeland's variational principle

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. Mathematics subject classification (2010): 35B38, 47L07.

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Differential Equations and Applications

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