Continuity of periodic solutions of the Landesman-Lazer equation in external forces

被引：1

作者：

Dou, Yaru ^{[1
]}

Meng, Gang ^{[1
]}

机构：

[1] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2020年 / 53卷

基金：

中国国家自然科学基金;

关键词：

Landesman-Lazer equation; Periodic solution; Continuity; Weak topology; WEAK TOPOLOGY; EXTREMAL PROBLEMS; LINEAR-SYSTEMS; 1ST EIGENVALUE; MINIMIZATION; POTENTIALS; VALUES;

D O I：

10.1016/j.nonrwa.2019.103074

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the continuity of periodic solutions of the Landesman-Lazer equations in coefficient functions. It will be proved that these periodic solutions are not only continuous in coefficient functions with respect to the usual L-P topologies, but also with respect to the weak topologies of the L-P spaces. The continuity results of this paper are the basis to study some quantities defined from solutions in a quantitative way. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页数：10

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