Analytic solutions of nonlinear elliptic equations on rectangular tori

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:267

Article

Shi, Yunfeng¹ 

[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

关键词: Analytic periodic solutions;    Nonlinear elliptic equations;    Rectangular tori;    Nash-Moser iterations;    Anderson localization;    KAM theory;   

DOI  :  10.1016/j.jde.2019.05.039

来源: Elsevier

【 摘 要 】

In this paper, we consider the nonlinear elliptic equations on rectangular tori. Using methods in the study of KAM theory and Anderson localization, we prove that these equations admit many analytic solutions. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free