Multiplicity of sign-changing solutions for Kirchhoff-type equations. (September 2019)

• Record Type: Journal Article
• Authors: Cassani, Daniele; Liu, Zhisu; Tarsi, Cristina; Zhang, Jianjun
• Is Part Of: Nonlinear analysis. Volume 186(2019)
• Page Start: 145
• Page End: 161
• Publication Date: 2019-09
• Subjects: 35J61 -- 35J20; Kirchhoff equations -- Sign-changing solutions -- Invariant sets of descending flow; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2019.01.025
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We are concerned with sign-changing solutions to nonlocal perturbation of the nonlinear Schrödinger equation in the whole R 3 . By using the method of invariant sets of descending flow, we prove the existence of multiple sign-changing solutions provided the perturbation is sufficiently small.