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Analytic solutions of nonlinear elliptic equations on rectangular tori

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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… Click to show full 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: analytic solutions; equations rectangular; rectangular tori; solutions nonlinear; elliptic equations; nonlinear elliptic

Journal Title: Journal of Differential Equations
Year Published: 2019

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