English

Analytic solutions of nonlinear elliptic equations on rectangular tori

Analysis of PDEs 2018-12-20 v4 Dynamical Systems

Abstract

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.

Keywords

Cite

@article{arxiv.1812.04836,
  title  = {Analytic solutions of nonlinear elliptic equations on rectangular tori},
  author = {Yunfeng Shi},
  journal= {arXiv preprint arXiv:1812.04836},
  year   = {2018}
}

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