Continuity of periodic solutions of the Landesman–Lazer equation in external forces. (June 2020)

• Record Type: Journal Article
• Authors: Dou, Yaru; Meng, Gang
• Is Part Of: Nonlinear analysis. Volume 53(2020)
• Publication Date: 2020-06
• Subjects: Landesman–Lazer equation -- Periodic solution -- Continuity -- Weak topology; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2019.103074
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: 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.