Asymptotic behavior of positive solutions of some nonlinear elliptic equations on cylinders

Shan Chen; Zixiao Liu

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arXiv · 2010.04932

Asymptotic behavior of positive solutions of some nonlinear elliptic equations on cylinders

Shan Chen·Zixiao Liu

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Abstract

We establish quantitative asymptotic behavior of positive solutions of a family of nonlinear elliptic equations on the half cylinder near the end. This unifies the study of isolated singularities of some semilinear elliptic equations, such as the Yamabe equation, Hardy-H\'enon equation etc.

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Shan Chen, Zixiao Liu. 2020-10-10. Asymptotic behavior of positive solutions of some nonlinear elliptic equations on cylinders. https://arxiv.org/abs/2010.04932

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