Infinitely many solutions for sublinear indefinite nonlocal elliptic equations perturbed from symmetry. (March 2017)

• Record Type: Journal Article
• Authors: Zhang, Liang; Chen, Yi
• Is Part Of: Nonlinear analysis. Volume 151(2017)
• Page Start: 126
• Page End: 144
• Publication Date: 2017-03
• Subjects: 35A15 -- 49J35 -- 47G20; Sublinear indefinite elliptic equation -- Broken symmetry -- Infinitely many solutions -- Nonlocal operator -- Rabinowitz's perturbation method; 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.2016.12.001
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: This paper is concerned the existence of infinitely many solutions for perturbed sublinear indefinite elliptic equations involving the nonlocal operator. By using a variant of Rabinowitz's perturbation method, we study the effect of high order non-odd perturbations which break the symmetry of the associated energy functional and show how a sequence of small negative energy solutions persists under broken symmetry situations.